Overview
- Introductory Textbooks
- Overview Articles
- Manual, Tutorial and Reference Card
- Singular presentations
- Implemented Algorithms and Libraries
- Series: ZCA Reports on Computer Algebra
- Further Books Providing Singular Examples
- Further Publications Referring to Singular
- Upload your Singular related publications
Search Publications
See also Singular's entry in the swMATH database.
Introductory Textbooks
- Wolfram Decker, Gerhard Pfister: A First Course in Computational Algebraic Geometry
Cambridge University Press, 2013. - Wolfram Decker, Christoph Lossen: Computing in Algebraic Geometry - A Quick Start using Singular
Springer Verlag, 2005, ACM 16. - Gert-Martin Greuel, Gerhard Pfister: A Singular Introduction to Commutative Algebra
Springer Verlag, with contributions by Olaf Bachmann, Christoph Lossen, and Hans Schönemann, 2002, Second edition appeared in 2007.
Overview Articles
- Gert-Martin Greuel, Gerhard Pfister: Singular and Applications
Jahresbericht der DMV, 108, 167-196, 2006. - Christoph Lossen, Hans Schönemann: 21 years of Singular experiments in mathematics
In: C. Lossen, G. Pfister: Singularities and Computer Algebra, Cambridge University Press, 247-272, 2006. - Christoph Lossen: Singular: A Computer Algebra System
CISE, 5 (4), 45-55, 2003. - Gert-Martin Greuel, Gerhard Pfister, Hans Schönemann: Singular - A Computer Algebra System for Polynomial Computations
In: M. Kerber and M. Kohlhase (eds.), Symbolic Computation and Automated Reasoning, The Calculemus-2000 Symposium, 227-233, 2001. - Gert-Martin Greuel: Applications of Computer Algebra to Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving
In: European Congeress of Mathematicians, Barcelona, July 10-14, 2000, 2, 169-188, 2000. - Gert-Martin Greuel: Computer Algebra and Algebraic Geometry - Achievements and Perspectives
Journal of Symbolic Computation, 30 (3), 253-290, 2000. - Gert-Martin Greuel, Gerhard Pfister: Gröbner bases and algebraic geometry
In: B. Buchberger and F. Winkler: Gröbner Bases and Applications. LNS, 251, 109-143, 1998. - Gert-Martin Greuel: Description of Singular: A Computer Algebra System for Singularity Theory, Algebraic Geometry and Commutative Algebra
Euromath Bulletin, 2, 161-172, 1996.
Manual, Tutorial and Reference Card for Singular
- Singular Manual: for latest version (PDF, HTML).
- Singular Manual: for Version 2 (HTML).
- Reference Card: Pdf.
Singular Presentations
- Anne Frühbis-Krüger, Andreas Steenpass, Stefan Steidel: Singular 3-1-3 - Tackling New Challenges
MEGA Conference, Stockholm, Sweden, 2011. - Stefan Steidel: Singular Tutorial
Summer School in Trieste, 2008. - Gerhard Pfister: Presentation of new Implemented Algorithms
MEGA Conference, Kaiserslautern, Germany, 2003. - Anne Frühbis-Krüger, Christoph Lossen: Singular as a tool for Singularity Theory
7th Workshop on Real and Complex Singularities, ICMC-USP, Sao Carlos, Brazil, 2002. - Hans Schönemann: The system Singular
ISSAC, Lille, France, 2002. - Anne Frühbis-Krüger: A Computer Algebra System for Polynomial Computations
Mathematical Institute of Paris 6/7, 2001. - Gert-Martin Greuel: New Developments in Singularity Theory
Summer School New Developments in Singularity Theory in Cambridge, UK, 2000. - Gert-Martin Greuel, Gerhard Pfister: System und Anwendungen
DFG Tagung Effiziente Algorithmen, Karlsruhe, Germany, 2000. - Christoph Lossen: Singular presentation
Aspectos Computacionales en Álgebra Conmutativa y Geometría Algebraica, Valladolid, Spain, 2000. - Gert-Martin Greuel, Gerhard Pfister, Hans Schönemann: Singular presentation
DMV Tagung, Mainz, Germany, 1999. - Olaf Bachmann, Hans Schönemann: Monomial Representations for Groebner Bases Computations
ISSAC, Rostock, Germany, 1998. - Gert-Martin Greuel, Gerhard Pfister, Hans Schönemann: A Computer Algebra System for Polynomial Computations
ICM, Berlin, Germany, 1998. - Gert-Martin Greuel, Gerhard Pfister, Hans Schönemann: Singular version 1.2 -- What is new ?!
MEGA Conference, Saint Malo, France, 1998.
Information on Implemented Algorithms and Libraries
- Burcin Erocal, Oleksandr Motsak, Frank-Olaf Schreyer, Andreas Steenpass: Refined Algorithms to Compute Syzygies
J. Symb. Comput., 74, 308-327, 2016. - Magdaleen S. Marais, Andreas Steenpass: The Classification of Real Singularities Using SINGULAR. Part II: The Structure of the Equivalence Classes of the Unimodal Singularities
J. Symb. Comput., 74, 346-366, 2016. - Janko Boehm, Magdaleen S. Marais, Andreas Steenpass: The Classification of Real Singularities Using Singular. Part III: Unimodal Singularities of Corank 2
Preprint, 2015. - Dereje Kifle Boku, Wolfram Decker, Claus Fieker, Andreas Steenpass: Gröbner Bases over Algebraic Number Fields
PASCO '15 Proceedings of the 2015 International Workshop on Parallel Symbolic Computation, Bath, 16-24, 2015. - Magdaleen S. Marais, Andreas Steenpass: The Classification of Real Singularities Using SINGULAR. Part I: Splitting Lemma and Simple Singularities
J. Symb. Comput., 68, 61-71, 2015. - Janko Boehm, Kathrin Bringmann, Arne Buchholz, Hannah Markwig: Tropical mirror symmetry for elliptic curves
arXiv:1309.5893, 2013. - Janko Boehm, Wolfram Decker, Santiago Laplagne, Gerhard Pfister, Andreas Steenpass, Stefan Steidel: Parallel algorithms for normalization
J. Symb. Comput., 51, 99-114, 2013. - Muhammad Ahsan Banyamin, Gerhard Pfister, Stefan Steidel: About the computation of the signature of surface singularities z^N+g(x,y)=0
Central European Journal of Mathematics, 10(1), 271-276, 2012. - Janko Boehm, Wolfram Decker, Claus Fieker, Gerhard Pfister: The use of Bad Primes in Rational Reconstruction
arXiv:1207.1651, 2012. - Christian Eder: Improving incremental signature-based Groebner basis algorithms
submitted to ISSAC 2012, 2012. - Calin-Serban Barbat: Dualization of projective algebraic sets by using Gröbner bases elimination techniques
arXiv:1101.2615, 2011. - Nazeran Idrees, Gerhard Pfister, Stefan Steidel: Parallelization of Modular Algorithms
Journal of Symbolic Computation, 46, 672-684, 2011. - Michael Monagan, Roman Pearce: Sparse polynomial division using a heap
Journal of Symbolic Computation, 46 (7), 807-822, 2011. - Gerhard Pfister, Afshan Sadiq, Stefan Steidel: An Algorithm for Primary Decomposition in Polynomial Rings over the Integers
Central European Journal of Mathematics, 9(4), 897-904, 2011. - Gert-Martin Greuel, Santiago Laplagne, Frank Seelisch: Normalization of rings
Journal of Symbolic Computation, 45 (9), 887-952, 2010. - Martin Monerjan: An Algorithm to Compute the Gröbner Fan of a Polynomial Ideal and its Implementation into SINGULAR
Universität Kaiserslautern, 2010, Diplomarbeit. - Michael Brickenstein, Alexander Dreyer
: PolyBoRi: A framework for Groebner-basis computations with Boolean polynomials
Journal of Symbolic Computation, 44 (9), 1326-1345, 2009. - Anders Nedergaard Jensen, Hannah Markwig, Thomas Markwig: An algorithm for lifting points in a tropical variety
Collectanea Mathematica, 59 (2), 129-165, 2008. - Anne Frühbis-Krüger, Gerhard Pfister: Algorithmic Resolution of Singularities
Lecture Notes of LMS, Cambridge University Press, 2006. - Michael Brickenstein
: Slimgb: Gröbner bases with slim polynomials
Reports on Computer Algebra (ZCA, University of Kaiserslautern), 35, 2005. - Tobias Hirsch: Computing the Integral Closure of an Ideal Using its Rees Algebra
Computational Commutative and Non-Commutative Algebraic Geometry (IOS Press), 196, 145-155, 2005. - Viktor Levandovskyy
: Non-commutative Computer Algebra for polynomial algebras: Gröbner bases, applications and implementation
PhD Thesis (University of Kaiserslautern), 2005. - Mathias Schulze
: Good bases for tame polynomials
Journal of Symbolic Computation, 39 (1), 103-126, 2005. - E. A. Tobis
: Libraries for Counting Real Roots
Reports on Computer Algebra (ZCA, University of Kaiserslautern), 34, 2005. - Anne Frühbis-Krüger, Gerhard Pfister: Practical Aspects of Algorithmic Resolution of Singularities
Reports on Computer Algebra (ZCA, University of Kaiserslautern), 33, 2004. - Mathias Schulze
: A normal form algorithm for the Brieskorn lattice
Journal of Symbolic Computation, 38 (4), 1207-1225, 2004. - Anne Frühbis-Krüger, Kai Krüger, Hans Schönemann: Dynamic Modules in Singular
Reports on Computer Algebra (ZCA, University of Kaiserslautern), 32, 2003. - Viktor Levandovskyy
: PBW Bases, Non-Degeneracy Conditions and Applications
Proc. of the ICRA X conference, Toronto, Canada. Fields Institute, 2003. - Viktor Levandovskyy, Hans Schönemann: PLURAL - a Computer Algebra System for Noncommutative Polynomial Algebras
Proc. of the ISSAC 2003, Philadelphia, USA, 2003. - I Made Sulandra: Über Gröbnerwalkalgorithmen
PhD Thesis (Universität des Saarlandes), 2003. - F. Hernando
: Computation of the Alexander polynomial of a plane curve singularity and an implementation in Singular
Master Thesis (University of Kaiserslautern), 2002. - Viktor Levandovskyy
: On Gröbner bases for noncommutative G-algebras
Proc. of the 8th Rhine Workshop on Computer Algebra, Mannheim, Germany, 2002. - Chris Monico: Computing the primary decomposition of zero-dimensional ideals
Journal of Symbolic Computation, 34 (5), 451-459, 2002. - Hans Schönemann: Data representations in the computer algebra system Singular
Workshop on Applications of Commutative Algebra, Catania, 2002. - Mathias Schulze
: The differential structure of the Brieskorn lattice
A. M. Cohen et al.: Mathematical Software - ICMS 2002, World Scientific, 136-146, 2002. - Mathias Schulze
: Algorithmic Gauss-Manin Connection
PhD Thesis (University of Kaiserslautern), 2002. - Vladimir P. Gerdt, Yuri A. Blinkov, Denis A. Yanovich
: Construction of Janet bases I: Monomial bases
E. Ghanza et al (eds.), Computer Algebra in Scientific Computing - CASC 2001. (Springer), 233-247, 2001. - Vladimir P. Gerdt, Yuri A. Blinkov, Denis A. Yanovich
: Construction of Janet bases II: Polynomial bases
E. Ghanza et al (eds.), Computer Algebra in Scientific Computing - CASC 2001. (Springer), 249-263, 2001. - Gert-Martin Greuel, Christoph Lossen, Mathias Schulze: Three Algorithms in Algebraic Geometry, Coding Theory and Singularity Theory
C. Ciliberto et al: Application of Algebraic Geometry to Coding Theory, Physics and Computation, Proceedings. (Kluwer), 161-194, 2001. - Mathias Schulze
: Algorithms for the Gauss-Manin connection
Journal of Symbolic Computation, 32 (5), 549-564, 2001. - Mathias Schulze, Joseph H. M. Steenbrink
: Computing Hodge-theoretic invariants of singularities
D. Siersma et al.: New Developments in Singularity Theory. NATO Science Series (Kluwer), 21, 217-233, 2001. - Thomas Bayer
: Computation of moduli spaces for semiquasihomogenous singularities and an implementation in Singular
Diploma Thesis (University of Kaiserslautern), 2000. - T. Siebert
: Recursive Computation of Free Resolutions and a Generalized Koszul Complex
Reports on Computer Algebra (ZCA, University of Kaiserslautern), 28, 2000. - Agnes Eileen Heydtmann: Generating Invariant Rings of Finite Groups
Diploma Thesis (Universität des Saarlandes), 1999. - Dietmar Hillebrand
: Triangulierung nulldimensionaler Ideale - Implementierung und Vergleich zweier Algorithmen
Diploma Thesis (Universität Dortmund), 1999. - Martin Lamm
: Hamburger-Noether Entwicklung von Kurvensingularitäten
Diploma Thesis (University of Kaiserslautern), 1999. - Hans Schönemann
: Polynomials in Factory and Singular
Nikolaus-Konferenz Aachen, 1999. - Mathias Schulze
: Computation of the Monodromy of an Isolated Hypersurface Singularity
Diploma Thesis (University of Kaiserslautern), 1999. - Christine Theis
: Der Buchberger-Algorithmus für torische Ideale und seine Anwendung in der ganzzahligen Optimierung
Diploma Thesis (Universität des Saarlandes), 1999. - Moritz Wenk
: Resultantenmethoden zur Lösung algebraischer Gleichungssysteme implementiert in Singular
Diploma Thesis (University of Kaiserslautern), 1999. - O. Bachmann, Hans Schönemann
: Monomial Representations for Groebner Basis Computations
Reports on Computer Algebra (ZCA, University of Kaiserslautern), 18, 1998. - Wolfram Decker, Gert-Martin Greuel, Gerhard Pfister: Primary decomposition: algorithms and comparisons
Gert-Martin Greuel, B. H. Matzat, G. Hiss: Algorithmic Algebra and Number Theory (Springer), 187-220, 1998. - Wolfram Decker, Gert-Martin Greuel, Gerhard Pfister, Theo de Jong: The normalisation: a new algorithm, implementation and comparisons
Proc. EUROCONFERENCE Computational Methods for Representations of Groups and Algebras 1997, 1998. - Wolfram Decker, Agnes Eileen Heydtmann, Frank-Olaf Schreyer
: Generating a Noetherian Normalization of the Invariant Ring of a Finite Group
Journal of Symbolic computation, 25 (6), 727-731, 1998. - Wolfram Decker, Theo de Jong
: Gröbner bases and invariant theory
Gröbner bases and applications, London Math. Soc. Lecture Notes Series, 251, 61-89, 1998. - Bernd Martin
: Computing versal deformations with singular
G.-M. Greuel, B. H. Matzat, G. Hiss: Algorithmic Algebra and Number Theory (Springer), 283-294, 1998. - O. Bachmann, S. Gray, Hans Schönemann
: MP Prototype Specification
Reports on Computer Algebra (ZCA, University of Kaiserslautern), 12, 1997. - Kai Krüger: Klassifikation von Hyperflächensingularitäten
Diploma Thesis (University of Kaiserslautern), 1997. - Tim Wichmann
: Der FGLM Algorithmus - verallgemeinert und implementiert in Singular
Diploma Thesis (University of Kaiserslautern), 1997. - Olaf Bachmann, Simon Gray, Hans Schönemann: MPP: a framework for distributed polynomial computations
Proc. of the ISSAC, Zurich, Switzerland, 103-112, 1996. - H. Grassmann, Gert-Martin Greuel, Bernd Martin, W. Neumann, Gerhard Pfister, Pohl Wilfred, Hans Schönemann, T. Siebert: On an implementation of standard bases and syzygies in Singular
AAECC 7, 235-149, 1996. - Gert-Martin Greuel, Gerhard Pfister: Advances and improvements in the theory of standard bases and syzygies
Archiv der Mathematik (Birkhäuser), 66 (2), 163-176, 1996. - Hans Schönemann
: Algorithms in Singular
Reports on Computer Algebra (ZCA, University of Kaiserslautern), 2, 1996. - T. Siebert
: On strategies and implementations for computations of free resolutions
Reports on Computer Algebra (ZCA, University of Kaiserslautern), 8, 1996. - H. Grassmann, Gert-Martin Greuel, Bernd Martin, W. Neumann, Gerhard Pfister, Pohl Wilfred, Hans Schönemann, T. Siebert: Standard bases, syzygies and their implementation in Singular
Beiträge zur angewandten Analysis und Informatik. Shaker, Aachen, 69-96, 1994.
Further Books providing Singular Examples
- Teijo Arponen, Andreas Mueller, Samuli Piipponen, Jukka Tuomela: Kinematical analysis of overconstrained and underconstrained mechanisms by means of computational algebraic geometry
Meccanica (Springer), 49, 843-862, 2014. - Teijo Arponen, Andreas Mueller, Samuli Piipponen, Jukka Tuomela: Computational algebraic geometry and global analysis of regional manipulators
Applied Mathematics and Computation, 232, 820-835, 2014. - Timo Erkama, Samuli Piipponen: Rational Cycles of Quadratic Polynomials
JP Journal of Algebra, Number Theory and Applications, 33, 113-132, 2014. - Teijo Arponen, Samuli Piipponen, Jukka Tuomela: Classification of Singularities in Kinematics of Mechanisms
Mechanisms and Machine Science, 15, 41-48, 2013. - Samuli Piipponen, Jukka Tuomela: Algebraic analysis of kinematics of multibody systems
Mechanical Sciences, 4, 33-47, 2013. - Samuli Piipponen, Jukka Tuomela: Configuration space analysis of rigid mechanisms
Miskolc Mathematical Notes , 14, 685-695, 2013. - Viktor Levandovskyy, Jorge Martín-Morales: Algorithms for checking rational roots of b-functions and their applications
Journal of Algebra, 352, 408-429, 2012. - Iwona Krzyżanowska: The intersection number of real polynomial mappings
Topology and its Applications, 158, 379-386, 2011, issue 3. - Iwona Karolkiewicz, Aleksandra Nowel, Zbigniew Szafraniec: An algebraic formula for the intersection number of a polynomial immersion
J. Pure Appl. Algebra, 214, 269–280, 2010, no. 3. - Anne Frühbis-Krüger: Some Remarks on Blowing-Ups in a Computer Algebra System
Computer Science Journal of Moldova, 16, 15--34, 2008. - Valery Romanovski, Douglas Shafer: The Center and Cyclicity Problems. A Computational Algebra Approach
Birkhäuser, 2008. - Frühbis-Krüger Anne: Computational Aspects of Singularities
in Singularities in Geometry and Topology, World Scientific Publishing, 253--327, 2007, only older and shorter version available online. - Gert-Martin Greuel, Christoph Lossen, Eugenii Shustin: Introduction to Singularities and Deformations
Springer Monographs in Mathematics, 2007. - Bernd Sturmfels: Solving Systems of Polynomial Equations
CBMS Regional Conference Series in Mathematics, AMS, Providence, 97, 2002. - David A. Cox, John B. Little, Donal O'Shea: Using Algebraic Geometry
Springer Verlag, 1998. - David A. Cox, John B. Little, Donal O'Shea: Ideals, Varieties, and Algorithms
Springer Verlag, 1997.
Further Publications Referring to Singular
- Thorsten Theobald: An enumerative geometry framework for algorithmic line problems in R^3
SIAM Journal on Computing, 31 (4), 1212-1228, SIAM. - Olav Geil, Ryutaroh Matsumoto, Diego Ruano: List Decoding Algorithm based on Voting in Gröbner Bases for General One-Point AG Codes
Journal of Symbolic Computation, published online, 2016. - Hagai Kirshner, Michael Unser, John Paul Ward: On the Unique Identification of Continuous-Time Autoregressive Models From Sampled Data
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 62, 1361 -- 1376, 2014. - Teijo Arponen, Samuli Piipponen, Jukka Tuomela: Kinematical analysis of Wunderlich mechanism
Mechanism and Machine Theory, 70, 16-31, 2013. - Hiep Dang: Computations in multivariate quaternionic polynomial ring
Le Matematiche, LXVIII, 3-11, 2013. - Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasinska: A counter-example to a question by Huneke and Harbourne
2013, arXiv:1301.7440. - Akihito Kikuchi: An approach to first principles electronic structure calculation by symbolic-numeric computation
Qscience connect , Bloomsbury Qatar Foundation Journals, 2013, No.1, 2013. - Federico Ardila, Megan Owen, Seth Sullivant: Geodesics in CAT(0) cubical complexes
Advances in Applied Mathematics, 48 (1), 142-163, 2012. - G. Dibitetto, A. Guarino, D. Roest: Vacua analysis in extended supersymmetry compactifications
Progress of Physics, 60 (3), 2012. - Amir Hashemi: Efficient computation of Castelnuovo-Mumford regularity
Mathematics of Computation, 81, 1163-1177, 2012. - Nathan Owen Ilten, Lars Kastner: Calculating Generators of Multigraded Algebras
2012. - Akihito Kikuchi: A proposal to first principles electronic structure calculation:Symbolic-Numeric method
preprint, 2012, 42. - David J. Marchette: Minimal Free Resolutions of Graph Edge Ideals
2012. - Bernd Martin, Dmitry Pochekutov: Discriminant and Singularities of Logarithmic Gauss Map, Examples and Application
2012. - Jeaman Ahn, Sijong Kwak, YeongSeok Song: Generic Initial ideals of Singular Curves in Graded Lexicographic Order
2011. - D.G. Aliaga, M. Boutin, Ji Zhang: Pose-Free Structure From Motion Using Depth From Motion Constraints
IEEE Transactions on Image Processing, 20 (10), 2937-2953, 2011. - Elizabeth S. Allman, James H. Degnan, John A. Rhodes: Identifying the Rooted Species Tree from the Distribution of Unrooted Gene Trees under the Coalescent
Journal of Mathematical Biology, 62 (6), 833-862, 2011. - Gwénolé Ars, Amir Hashemi: Computing Syzygies by Faugère's F_5 Algorithm
Results in Mathematics, 59 (1-2), 35-42, 2011. - Daniel J. Bates, Luke Oeding: Toward a salmon conjecture
Experimental Mathematics, 20 (3), 358–370, 2011. - Srinivas Behara, Shiv Datt Kumar, Ratnesh Kumar Mishra: On Projective Modules and Computation of Dimension of a Module over Laurent Polynomial Ring
ISRN Algebra, 2011, 12, 2011. - Janko Boehm, David Eisenbud, Max Nitsche: Decomposition of semigroup algebras
to appear in Experimental Mathematics, 2011. - Gary Carter, Ed Dawson, Huseyin Hisil, Kenneth Koon-Ho Wong: An exploration of affine group laws for elliptic curves
Journal of Mathematical Cryptology, 5 (1), 1-50, 2011. - Víctor Castellanos, Abel Castorena, Manuel Cruz-López: Algebraic and Computational Formulas for the Index of Real Analytic Vector Fields
Results in Mathematics, 59 (1-2), 125-139, 2011. - Sandra Di Rocco, David Eklund, Chris Peterson, Andrew J. Sommese: Chern Numbers of Smooth Varieties via Homotopy Continuation and Intersection Theory
Journal of Symbolic Computation, 46 (1), 23-33, 2011. - Christian Eder, John Perry: Signature-based algorithms to compute Groebner bases
submitted to ISSAC 2011, 16 pages, 2011. - Graham Ellis, Paul Smith: Computing group cohomology rings from the Lyndon-Hochschild-Serre spectral sequence
Journal of Symbolic Computation, 46 (4), 360-370, 2011. - F. Enescu, Lv Jinpeng, P. Kalla: Verification of composite Galois field multipliers over GF((2^m)^n) using computer algebra techniques
High Level Design Validation and Test Workshop (HLDVT), 2011 IEEE International, 2011, 136-143, 2011. - Raul M. Falcón: The set of autotopisms of partial Latin squares
arXiv:1107.3248v1 [math.CO], 2011. - David J. Green, Simon King: The computation of the cohomology rings of all groups of order 128
Journal of Algebra, 325, 352-363, 2011. - Kenji Hashimoto, Tomohide Terasoma: Period map of a certain K3 family with an S5-action
Journal für die reine und Angewandte Mathematik, 2011 (652), 1-65, 2011. - Dang Tuan Hiep: Computing Serre\'s Intersection Multiplicities
2011. - Franziska Hinkelmann, Abdul Salam Jarrah, Reinhard Laubenbacher, David Murrugarra: A Mathematical Framework for Agent Based Models of Complex Biological Networks
Bulletin of Mathematical Biology, 73 (7), 1583-1602, 2011. - Shutaro Inoue, Katsusuke Nabeshima, Ko Sakai, Yosuke Sato, Akira Suzuki: Boolean Gröbner bases
Journal of Symbolic Computation, 46 (5), 622-632, 2011. - Sebastian Jambor: Computing minimal associated primes in polynomial rings over the integers
Journal of Symbolic Computation, 46 (10), 1098-1104, 2011. - Taro Kawazoe, Masayuki Noro: Algorithms for computing a primary ideal decomposition without producing intermediate redundant components
Journal of Symbolic Computation, 46 (10), 1158–1172, 2011. - Iwona Krzyżanowska, Zbigniew Szafraniec: Polynomial mappings into a Stiefel manifold and immersions
2011. - Margreta Kuijper, Kristina Schindelar: Minimal Gröbner bases and the predictable leading monomial property
Linear Algebra and its Applications, 434 (1), 104-116, 2011. - Zbigniew Leśniak Leśniak, Yong-Guo Shi: One class of planar rational involutions
Nonlinear Analysis: Theory, Methods & Applications, 74 (17), 6097-6104, 2011. - Viktor Levandovskyy, Kristina Schindelar: Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases
Journal of Symbolic Computation, 46 (5), 595-608, 2011. - Ulrich Loup, Erika Ábrahám: GiNaCRA: A C++ Library for Real Algebraic Computations
Lecture Notes in Computer Science, 6617, 512-517, 2011. - Agustin Marcelo, Peter Schenzel: Non-Cohen-Macaulay unique factorization domains in small dimensions
Journal of Symbolic Computation, 46 (5), 609-621, 2011. - Dhagash Mehta: Numerical Polynomial Homotopy Continuation Method and String Vacua
Advances in High Energy Physics, 2011, 15, 2011. - Dorin Popescu: Depth of factors of square free monomial ideals
2011. - Johannes Rauh: Finding the Maximizers of the Information Divergence from an Exponential Family
IEEE Transactions on Information Theory, 57 (6), 3236-3247, 2011. - Elizabeth A. Sell: On splice quotients of the form {z^n = f(x,y)}
Mathematische Nachrichten, 284 (10), 1286-1303, 2011. - Yi-Huang Shen: Tangent Cone of Numerical Semigroup Rings of Embedding Dimension Three
Communications in Algebra, 39 (5), 1922-1940, 2011. - Beata Strycharz-Szemberg, Tomasz Szemberg: Geometry of the locus of polynomials of degree 4 with iterative roots
Central European Journal of Mathematics, 9 (2), 338-345, 2011. - Melle-Hernandez Alejandro, Arta-Bartolo Enrique, Luengo Ignacio, Fernandez de Bobadilla Javier: Milnor number of weighted-Le-Yomdin singularities
Int. Math. Res. Not., 22, 4301-4318, 2010. - Jinpeng An, Dragomir Ž. Đoković: Zero patterns and unitary similarity
Journal of Algebra, 324 (1), 51-80, 2010. - Jingeng An, Dragomir Z. Dokovic: Zero Patterns and Unitary Similarity
Journal of Algebra, 324 (1), 51-80, 2010. - Lara B. Anderson, James Gray, Dan Grayson, Yang-Hui He, André Lukas: Yukawa Couplings in Heterotic Compactification
Communications in Mathematical Physics, 297 (1), 95-127, 2010. - Daniel Andres, Viktor Levandovskyy, Jorge Martin-Morales: Effective Methods for the Computation of Bernstein-Sato polynomial for Hypersurfaces and Affine Varieties
2010. - Rémi Arcadias: Multidegree for bifiltered D-modules
2010. - Mohamed Barakat, Markus Lange-Hegermann
: An Axiomatic Setup for Algorithmic Homological Algebra and an Alternative Approach to Localization
JPAA, 2010. - Tanja Becker: On the existence of symplectic resolutions of symplectic reductions
Mathematische Zeitschrift, 265 (2), 343-363, 2010. - Christine Berkesch, Anton Leykin: Algorithms for Bernstein-Sato polynomials and multiplier ideals
2010. - Cinzia Bisi, Francesco Polizzi: On Proper Polynomial Maps of C^2
Journal of Geometric Analysis, 20, 72-89, 2010. - Yousra Boubakri, Gert-Martin Greuel, Thomas Markwig: Invariants of Hypersurface Singularities in Positive Characteristic
2010. - Volker Braun
: Three generations on the quintic quotient
Journal of High Energy Physics, 2010 (1), 1-18, 2010. - Michael Brickenstein, Stanislav Bulygin
: Obtaining and solving systems of equations in key variables only for the small variants of AES
Mathematics in Computer Science, 3 (2), 185-200, 2010. - Andries E. Brouwer, Mihaela Popoviciu
: The invariants of the binary nonic
Journal of Symbolic Computation, 45 (6), 709-720, 2010. - Johannes Buchmann, Stanislav Bulygin, Albrecht Petzoldt: Selecting Parameters for the Rainbow Signature Scheme
PQCrypto 2010, Lecture Notes in Computer Science / Springer, 6061, 218-240, 2010. - Stanislav Bulygin, Ruud Pellikaan
: Decoding and finding the minimum distance with Gröbner bases: history and new insights
World Scientific, 585-622, 2010. - Xingwu Chen, Valery G. Romanovski: Linearizability conditions of time-reversible cubic systems
Journal of Mathematical Analysis and Applications, 362 (2), 438-449, 2010. - Aldo Conca, Tim Römer: Generic initial ideals and fibre products
Osaka Journal of Mathematics, 47 (1), 17-32, 2010. - Guillermo Cortiñas, Christian Haesemeyer, Mark E. Walker, Charles Weibel: A negative answer to a question of Bass
2010. - Alberto Damiano, Graziano Gentili, Daniele Struppa: Computations in the ring of quaternionic polynomials
Journal of Symbolic Computation, 45 (1), 38-45, 2010. - Ruchira S. Datta
: Finding all Nash equilibria of a finite game using polynomial algebra
Economic Theory, Springer, 42 (1), 55-96, 2010. - Alicia Dickenstein, Laura Felicia Matusevich, Ezra Miller: Combinatorics of binomial primary decomposition
Mathematische Zeitschrift, 264 (4), 745-763, 2010. - Christian Eder, Justin Gash, John Perry: Modifying Faugère's F5 Algorithm to ensure termination
19 pages, 2010, accepted for publication on the ACM SIGSAM Communications in Computer Algebra. - Christian Eder, John Perry: F5C: a variant of Faugere's F5 algorithm with reduced Groebner bases
Journal of Symbolic Computations (MEGA2009 special issue), 45(12), 1442-1458, 2010. - Viviana Ene, Anda Olteanu, Loredana Sorrenti: Properties of lexsegment ideals
Osaka Journal of Mathematics, 47 (1), 67-87, 2010. - Viviana Ferrer, Israel Vainsencher
: Polynomial vector fields with algebraic trajectories
2010. - Anne Frühbis-Krüger, Alexander Neumer: Simple Cohen-Macaulay Codimension 2 Singularities
Communications in Algebra, 38 (2), 454-495, 2010. - Anne Frühbis-Krüger: A Short Note on Hauser's Kangaroo Phenomena and Weak Maximal Contact in Higher Dimensions
Journal of Singularities, 2, 128--142, 2010. - Carlos Galindo, Francisco Monserrat: On the Characterization of Algebraically Integrable Plane Foliations
Transactions of the AMS, 362 (9), 4557-4568, 2010. - Jaume Giné, Valery G. Romanovski: Integrability conditions for Lotka–Volterra planar complex quintic systems
Nonlinear Analysis: Real World Applications, 11 (3), 2100-2105, 2010. - Gert-Martin Greuel, Frank Seelisch, Oliver Wienand: The Groebner basis of the ideal of vanishing polynomials
JSC special issue on 'Groebner Bases and their Applications', 2010. - Eleonora Guerrini, Emmanuela Orsini, Massimiliano Sala: Computing the distance distribution of systematic nonlinear codes
Journal of Algebra and its Applications, 9 (2), 241-256, 2010. - Amina Hadj Kacem, Ihsen Yengui: Dynamical Gröbner bases over Dedekind rings
Journal of Algebra, 324 (1) , 12-24, 2010. - Maoan Han, Valery G. Romanovski: Estimating the number of limit cycles in polynomials systems
Journal of Mathematical Analysis and Applications, 368 (2), 491-497, 2010. - Franziska Hinkelmann, Reinhard Laubenbacher, David Murrugarra, Abdul Salam Jarrah: A Mathematical Framework for Agent Based Models of Complex Biological Networks
2010. - Hans Jockers, Peter Mayr, Johannes Walcher: On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
Advances in Theoretical and Mathematical Physics, 14 (5), 1433-1514, 2010. - Michal Kapustka: Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections
2010. - Iwona Karolkiewicz, Aleksandra Nowel, Zbigniew Szafraniec: An algebraic formula for the intersection number of a polynomial immersion
Journal of Pure and Applied Algebra, 214 (3), 269-280, 2010. - Hideyasu Kawai: Construction of Maximal Ideals of Commutative Group Algebras
International Journal of Algebra and Computation, 20 (3), 381-389, 2010. - Dmitry Kerner: On some generalizations of Newton non-degeneracy for hypersurface singularities
Journal of the LMS, 82 (1), 49-73, 2010. - Johanna Knapp, Emanuel Scheidegger: Matrix factorizations, Massey products and F-terms for two-parameter Calabi-Yau hypersurfaces
Advances in Theoretical and Mathematical Physics, 14 (1), 225-307, 2010. - Ulrich Kraemer, Elmar Wagner: A residue formula for the fundamental Hochschild class of the Podles sphere
2010. - Felix E. Kubler, Karl H. Schmedders: Competitive Equilibria in Semi-Algebraic Economies
Journal of Economic Theory, 145 (1), 301-330, 2010. - Simon Kurmann: Partial elimination ideals and secant cones
2010. - Manfred Lehn, Y. Namikawa, Christoph Sorger: Slodowy Slices and Universal Poisson Deformations
2010. - Huishi Li: Lifting Gröbner Bases from a Class of Algebras
Communications in Algebra, 38 (6), 2282-2299, 2010. - Huishi Li: Looking for Gröbner basis theory for (almost) skew 2-nomial algebras
Journal of Symbolic Computation, 45 (9), 918-942, 2010. - Hossein Movasati: Eisenstein type series for Calabi-Yau varieties
2010. - Hajime Nagoya, Juanjuan Sun: Confluent KZ equations for sl_N with Poincare rank 2 at infinity
2010. - Jiawang Nie: Discriminants and Nonnegative Polynomials
2010. - Kenta Nishiyama, Masayuki Noro: Stratification associated with local b-functions
Journal of Symbolic Computation, 45 (4), 462-480, 2010. - Alfons I. Ooms, Michel Van den Bergh: A degree inequality for Lie algebras with a regular Poisson semi-center
Journal of Algebra, 323 (2), 305-322, 2010. - Asia Rauf: A procedure to compute prime filtration
Central European Journal of Mathematics, 8 (1), 26-31, 2010. - Afshan Sadiq: F4 Algorithm For Euclidean Rings
2010. - Mathias Schulze: Logarithmic comparison theorem versus Gauss-Manin system for isolated singularities
Advances in Geometry, 10 (4), 699-708, 2010. - Fernando San Segundo, Juan Rafael Sendra: Total Degree Formula for the Generic Offset to a Parametric Surface
2010. - Bernd Sturmfels, Caroline Uhler: Multivariate Gaussians, Semidefinite Matrix Completion, and Convex Algebraic Geometry
Annals of the Institute of Statistical Mathematics, 62, 2010. - Hirotachi Abo, Giorgio Ottaviani, Chris Peterson: Induction for secant varieties of Segre varieties
Transactions of the AMS, 361 (2), 767-792, 2009. - Ibrahim Al-Ayyoub: Normality of Monomial Ideals
Rocky Mountain Journal of Mathematics, 39 (1), 1-9, 2009. - Martin Albrecht, Carlos Cid
: Algebraic Techniques in Differential Cryptanalysis
Lecture Notes in Computer Science, 5665, 193-208, 2009. - Fernando Antoneli, Patricia Hernandes Baptistelli, Ana Paula S. Dias, Miriam Garcia Manoel: Invariant theory and reversible-equivariant vector fields
Journal of Pure and Applied Algebra, 213 (5), 649-663, 2009. - Teijo Arponen, Samuli Piipponen, Jukka Tuomela: Kinematic analysis of Bricard's mechanism
Nonlinear Dynamics, 56 (1-2), 85-99, 2009. - Feza Arslan, Pinar Mete, Mesut Şahin: Gluing and Hilbert functions of monomial curves
Proc. of the AMS, 137 (7), 2225-2232, 2009. - Gregory V. Bard
: Algebraic Cryptanalysis
Springer Publishing Company, 2009. - B. Ross Barmish, Fabrizio Dabbene, Sheila R. Ross, Pavel S. Shcherbakov: On positivity of polynomials: the dilation integral method
IEEE Transactions on Automatic Control, 54 (5), 965-978, 2009. - Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese
: Numerical Decomposition of the Rank-Deficiency Set of a Matrix of Multivariate Polynomials
Texts and Monographs in Symbolic Computation, 55-77, 2009. - Dan Bates, Frank Sottile
: Khovanskii-Rolle continuation for real solutions
2009. - Dave Bayer, Amelia Taylor: Reverse search for monomial ideals
Journal of Symbolic Computation, 44 (10), 1477-1486, 2009. - Georgia Benkart, Mariana Pereira, Sarah Witherspoon
: Yetter-Drinfeld modules under cocycle twists
2009. - Cinzia Bisi, Francesco Polizzi: Proper polynomial self-maps of the affine space: state of the art and new results
to appear in: Contemporary Mathematics, Proceedings of Complex Analysis and Dynamical Systems IV, 2009. - Carles Bivià-Ausina, Santiago Encinas: Łojasiewicz exponents and resolution of singularities
Archiv der Mathematik, 93 (3), 225-234, 2009. - Carles Bivià-Ausina: Local Łojasiewicz exponents, Milnor numbers and mixed multiplicities of ideals
Mathematische Zeitschrift, 262 (2), 389-409, 2009. - Rocio Blanco: Complexity of Villamayor's algorithm in the non-exceptional monomial case
International Journal of Mathematics, 20 (6), 659-678, 2009. - M. Borges-Quintana, M.A. Borges-Trenard, E. Martinez-Moro
: An Application of Möller's Algorithm to Coding Theory
Gröbner Bases, Coding, and Cryptography (Springer), 379-384, 2009. - Yousra Boubakri: Hypersurface singularities in positive characteristic
PhD Thesis (TU Kaiserslautern), 2009. - Michael Brickenstein
: Slimgb: Gröbner bases with slim polynomials
Revista Matemática Complutense, 2009. - Michael Brickenstein, Alexander Dreyer, Gert-Martin Greuel, Markus Wedler, Oliver Wienand: New developments in the theory of Gr�bner bases and applications to formal verification
Journal of Pure and Applied Algebra, 213 (8), 1612-1635, 2009. - Markus Brodmann, Peter Schenzel: Projective Curves with maximal regularity and applications to syzygies and surfaces
2009. - Winfried Bruns, Joseph Gubeladze: Polytopes, Rings and K-Theory
Springer Monographs in Mathematics, 2009. - Stanislav Bulygin, Ruud Pellikaan
: Bounded distance decoding of linear error-correcting codes with Gröbner bases
Journal of Symbolic Computation, 44 (12), 1626-1643, 2009. - Stanislav Bulygin, Ruud Pellikaan
: Decoding linear error-correcting codes up to half the minimum distance with Gröbner bases
Gröbner Bases, Coding, and Cryptography (Springer), 361-365, 2009. - Nils Carqueville
: Matrix factorisations and open topological string theory
Journal of High Energy Physics, 2009 (7), 5-?, 2009. - Nils Carqueville, Ingo Runkel
: On the monoidal structure of matrix bi-factorisations
2009. - Dustin A. Cartwright, Daniel Erman, Mauricio Velasco, Bianca Viray: Hilbert schemes of 8 points
Algebra & Number Theory, 3 (7), 763-795, 2009. - Colin Christopher, Jaume Llibre, Chara Pantazi, Sebastian Walcher: Inverse problems for invariant algebraic curves: explicit computations
Proc. of the Royal Society of Edinburgh: Section A Mathematics, 139 (2), 287-302, 2009. - Robert M. Corless, Karin Gatermann, Ilias S. Kotsireas: Using symmetries in the eigenvalue method for polynomial systems
Journal of Symbolic Computation, 44 (11), 1536-1550, 2009. - S. C. Coutinho, Marcos da Silva Ferreira: Algebraic solutions of Jacobi equations
Mathematics of Computation, AMS, 78 (268), 2427-2433, 2009. - S. C. Coutinho, Luis Menasché Schechter: Algebraic solutions of plane vector fields
Journal of Pure and Applied Algebra, 213 (1), 144-153, 2009. - Fernando Cukierman, J. V. Pereira, Israel Vainsencher: Stability of foliations induced by rational maps
Annales de la faculté des sciences de Toulouse, 18 (4), 685-715, 2009. - Alberto Damiano, Daniele Struppa, Adrian Vajiac, Mihaela Vajiac: Hartogs Phenomena and Antisyzygies for Systems of Differential Equations
Journal of Geometric Analysis, 19 (2), 288-300, 2009. - Nivaldo de Góes Grulha, Jr.: The Euler obstruction and Bruce-Roberts' Milnor number
The Quarterly Journal of Mathematics, 60 (3), 291-302, 2009. - Marc Dohm
: Implicitization of rational ruled surfaces with [mu]-bases
Journal of Symbolic Computation, 2009. - Mirela Domijan, Markus Kirkilionis: Bistability and oscillations in chemical reaction networks
Journal of Mathematical Biology, 59 (4), 467-501, 2009. - Patrick W. Dondl, Kai Hormann, Johannes Zimmer
: Modeling transformation paths of multiphase materials: The triple point of zirconia
Phys. Rev. B, 79 (10), 2009. - Mathias Drton: Discrete chain graph models
Bernoulli, 15 (3), 736-753, 2009. - Mathias Drton: Likelihood ratio tests and singularities
The Annals of Statistics, 37(2), 979-1012, 2009. - Wolfgang Ebeling, S. M. Gusein-Zade
: On indices of 1-forms on determinantal singularities
Proc. of the Steklov Institute of Mathematics, 267 (1), 113-124, 2009. - Christian Eder
: On The Criteria Of The F5 Algorithm
preprint, 2009. - Eivind Eriksen, Trond Stølen Gustavsen: Lie-Rinehart cohomology and integrable connections on modules of rank one
Journal of Algebra, 322 (12), 4283-4294, 2009. - Philip Foth, Sangjib Kim
: Toric degenerations of Bott-Samelson varieties
2009. - Carlos Galindo, Francisco Monserrat: δ-Sequences and evaluation codes defined by plane valuations at infinity
Proc. of the London Mathematical Society, 98 (3), 714-740, 2009. - Juan Ignacio Garcia Garcia, F. J. Lobillo, Jesus Garcia Miranda: Elimination orderings and localization in PBW algebras
Linear Algebra and its Applications, 430 (8-9), 2133-2148, 2009. - Eberhard H.-A. Gerbracht: Eleven Unit Distance Embeddings of the Heawood Graph
2009. - James Gray, Yang-Hui He, Anton Ilderton, André Lukas
: STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology
Comput. Phys. Commun., 180, 107-119, 2009. - Ignacio de Gregorio, David Mond, Christian Sevenheck: Linear free divisors and Frobenius manifolds
Compositio Mathematica, 145 85), 1305-1350, 2009. - Eleonora Guerrini, Emmanuela Orsini, Ilaria Simonetti: Gröbner Bases for the Distance Distribution of Systematic Codes
Gröbner Bases, Coding, and Cryptography (Springer), 367-372, 2009. - Johannes Härtel: Reduktionssysteme zur Berechnung einer Auflösung der orthogonalen freien Quantengruppen $A_o(n)$
2009. - Raymond Hemmecke, Peter N. Malkin: Computing generating sets of lattice ideals and Markov bases of lattices
Journal of Symbolic Computation, 44 (10), 1463-1476, 2009. - Manuel A. Insua, Manuel Ladra: Gröbner bases in universal enveloping algebras of Leibniz algebras
Journal of Symbolic Computation, 44 (5), 517-526, 2009. - Abdul S. Jarrah, Reinhard Laubenbacher
: On the algebraic geometry of polynomial dynamical systems
Emerging Applications of Algebraic Geometry, IMA Vol. Math. Appl., 149, 109-123, 2009. - Grzegorz Kapustka: Primitive contractions of Calabi-Yau threefolds II
Journal of the London Math. Soc., 79 (1), 259-271, 2009. - Grzegorz Kapustka, Michal Kapustka
: A cascade of determinantal Calabi-Yau threefolds
2009. - Grzegorz Kapustka, Michal Kapustka: Primitive contractions of Calabi-Yau threefolds I
Communications in Algebra, 37 (2), 482-502, 2009. - Eric Katz, Hannah Markwig, Thomas Markwig: The tropical j-invariant
LMS Journal of Computation and Mathematics , 12, 275-294, 2009. - Junaid Alam Khan: Converting Subalgebra Bases with the Sagbi Walk
2009. - Junaid Alam Khan: Subalgebra Analogue to Standard Basis for Ideal
2009. - A. Kuleshov, Alexander A. Reshetnyak: Programming Realization of Symbolic Computations for Non-linear Commutator Superalgebras over the Heisenberg--Weyl Superalgebra: Data Structures and Processing Methods
2009. - Roberto La Scala, Viktor Levandovskyy: Letterplace ideals and non-commutative Gröbner bases
Journal of Symbolic Computation, 44 (10), 1374-1393, 2009. - Oliver Labs
: A Septic with 99 real Nodes
Rend. Sem. Mat. Univ. Pad., 116, 299-313, 2009. - Antonio Laface, Luca Ugaglia: On multiples of divisors associated to Veronese embeddings with defective secant variety
Bulletin of the Belgian Mathematical Society, 16 (5), 933-942, 2009. - Mathias Lederer: Finite sets of d-planes in affine space
Journal of Algebra, 321 (12), 3827-3849, 2009. - Douglas A. Leonard: A weighted module view of integral closures of affine domains of type I
Advances in Mathematics of Communications, 3 (1), 1-11, 2009. - Viktor Levandovskyy, Valery G. Romanovski, Douglas S. Shafer: The cyclicity of a cubic system with nonradical Bautin ideal
Journal of Differential Equations, 246 (3), 1274-1287, 2009. - Miguel Ángel Marco-Buzunariz, Jorge Martín-Morales
: Graded Betti Numbers of the Logarithmic Derivation Module
2009. - Bernd Martin, Hendrik Süß: Milnor algebras could be isomorphic to modular algebras
Journal of Symbolic Computation, 44 (9), 1268-1279, 2009. - R. Matsumoto
: Radical Computation for Small Characteristics
Gröbner Bases, Coding, and Cryptography (Springer), 427-430, 2009. - Dhagash Mehta, Andre Sternbeck, Lorenz von Smekal, Anthony G. Williams
: Lattice Landau Gauge and Algebraic Geometry
PoS QCD-TNT, 9, 2009. - Jorge Neves, Stavros Argyrios Papadakis: A construction of numerical Campedelli surfaces with torsion Z/6
Transactions of the AMS, 361 (9), 4999-5021, 2009. - Jiawang Nie, Kristian Ranestad: Algebraic Degree of Polynomial Optimization
SIAM Journal on Optimization, 20 (1), 485-502, 2009. - Alfons I. Ooms: Computing invariants and semi-invariants by means of Frobenius Lie algebras
Journal of Algebra, 321 (4), 1293-1312, 2009. - Samuli Piipponen: Singularity analysis of planar linkages
Multibody System Dynamics, 22, 223-243, 2009. - Daniel Robertz: Noether normalization guided by monomial cone decompositions
Journal of Symbolic Computation, 44 (10), 1359-1373, 2009. - Sönke Rollenske
: The Kuranishi-space of complex parallelisable nilmanifolds
JEMS, 2009. - Afshan Sadiq
: Standard Bases over Rings
2009. - Mathias Schulze, Uli Walther: Cohen-Macaulayness and computation of Newton graded toric rings
Journal of Pure and Applied Algebra, 213 (8), 1522-1535, 2009. - Jan Stevens: Universal abelian covers of superisolated singularities
Mathematische Nachrichten, 282 (8), 1195-1215, 2009. - Bernd Sturmfels
: Open Problems in Algebraic Statistics
Emerging Applications of Algebraic Geometry (IMA Vol. Math. App.), 149, 351-363, 2009. - Raimundas Vidunas, Alexander Kitaev: Computation of highly ramified coverings
Mathematics of Computation, AMS, 78 (268), 2371-2395, 2009. - Martin Albrecht, Daniel Augot, Anne Canteaut, Carlos Cid, Ralf-Phillip Weinmann: Algebraic Cryptanalysis of Symmetric Primitives
ECRYPT Report (D.STVL.7), 2008. - Max A. Alekseyev, Pavel A. Pevzner: Multi-Break Rearrangements and Chromosomal Evolution
Theoretical Computer Science, 395 (2-3), 193-202, 2008. - Elizabeth S. Allman, John A. Rhodes
: Identifying evolutionary trees and substitution parameters for the general Markov model with invariable sites
Mathematical Biosciences, 211 (1), 18-33, 2008. - Klaus Altmann: Algebraische Geometrie
2008. - Teijo Arponen, Samuli Piipponen, Jukka Tuomela
: Analysing singularities of a benchmark problem
Multibody System Dynamics, 19 (3), 227-253, 2008. - Patrícia Hernandes Baptistelli, Miriam Garcia Manoel: The σ-isotypic decomposition and the σ-index of reversible-equivariant systems
2008. - Mohamed Barakat, Daniel Robertz: homalg - A Meta-Package for Homological Algebra
Journal of Algebra and its Applications, 7 (3), 299-317, 2008. - Frank Bauer: Split operators for oblique boundary value problems
Applicable Analysis, 87 (1), 45-57, 2008. - Arkady Berenstein, Sebastian Zwicknagl: Braided Symmetric and Exterior Algebras
Transactions of the AMS, 360 (7), 3429-3472, 2008. - Frederic Bihan, J. Maurice Rojas, Frank Sottile
: On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces
Algorithms in algebraic geometry, IMA Vol. Math. Appl., 146, 15-20, 2008. - Volker Braun, Tamaz Brelidze, Michael R. Douglas, Burt A. Ovrut: Calabi-Yau metrics for quotients and complete intersections
Journal of High Energy Physics, 5, 2008. - Michael Brickenstein, Alexander Dreyer: Groebner-free normal forms for boolean polynomials
ISSAC 2008, 55-62, 2008. - Lance Bryant: Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings
2008. - Igor Burban, Yuriy Drozd: Maximal Cohen-Macaulay Modules over Surface Singularities
Trends in representation theory of algebras and related topics, EMS Publishing House, 101-166, 2008. - Nils Carqueville
: Triangle-generation in topological D-brane categories
Journal of High Energy Physics, 2008. - Xingwu Chen, Valery G. Romanovski, W. Zhang: Linearizability conditions of time-reversible quartic systems having homogeneous nonlinearities
Nonlinear Analysis: Theory, Methods & Applications, 69 (5/6), 1525-1539, 2008. - Mihai Cipu
: A computer-aided proof of a conjecture in Euclidean geometry
Computers & Mathematics with Applications, 56 (11), 2814-2818, 2008. - Thomas Cluzeau, Alban Quadrat: Factoring and decomposing a class of linear functional systems
Linear Algebra and its Applications, 428 (1), 324-381, 2008. - S. C. Coutinho
: On the classification of simple quadratic derivations over the affine plane
Journal of Algebra, 319 (10), 4249-4274, 2008. - S. C. Coutinho, R. M. Oliveira: An algebraic algorithm for the resolution of singularities of foliations
Applicable Algebra in Engineering, Communication and Computing, 19 (6), 475-493, 2008. - Christian Eder: A new attempt on the F5 Criterion
The Computer Science Journal of Moldova, 16, 4-14, 2008. - Eivind Eriksen, Trond Stølen Gustavsen: Connections on modules over singularities of finite CM representation type
Journal of Pure and Applied Algebra, 212 (7), 1561-1574, 2008. - Raul M. Falcón: 0/1-Polytopes related to Latin squares autotopisms
Proc. of the 6th JMDA 2008, 311-319, 2008. - Raul M. Falcón, Jorge Martín-Morales: The 3-dimensional planar assignment problem and the number of Latin squares related to an autotopism
Proc. of the 11th EACA, 89-92, 2008. - Luis Giraldo, X. Gómez-Mont, P. Mardešić: Flags in zero dimensional complete intersection algebras and indices of real vector fields
Mathematische Zeitschrift, 260 (1), 77-91, 2008. - Luis Giraldo, Antonio J. Pan-Collantes: On the singular scheme of codimension one holomorphic foliations in P^3
International Journal of Mathematics, 1-16, 2008. - Hans-Christian Graf von Bothmer, Wolfgang Ebeling, Xavier Gómez-Mont: An algebraic formula for the index of a vector field on an isolated complete intersection singularity
Annales de l'Institut Fourier, 58 (5), 1761-1783, 2008. - Gert-Martin Greuel, Wolfgang Kunz, Dominik Stoffel, Markus Wedler, Oliver Wienand: An Algebraic Approach for Proving Data Correctness in Arithmetic Data Paths
Lecture Notes in Computer Science, Springer, 5123, 473-486, 2008. - R. V. Gurjar, Vinay Wagh: On the number of generators of the module of derivations and multiplicity of certain rings
Journal of Algebra, 319 (5), 2030-2049, 2008. - Martin Hamm
: Die verselle Deformation zyklischer Quotientensingularitäten: Gleichungen und torische Struktur
PhD Thesis (Hamburg University), 2008. - Christopher J. Hillar, Troels Windfeldt: Algebraic Characterization of Uniquely Vertex Colorable Graphs
Journal of Combinatorial Theory, 98 (2), 400-414, 2008. - Kai Hormann, Johannes Zimmer
: Exact Modelling of the Phases at the Triple Point of Zirconia
2008. - Z. Hu, V.G. Romanovski, D.S. Shafer: 1:-3 resonant centers on C^2 with homogeneous cubic nonlinearities
Computers & Mathematics with Applications, 56, 1927-1940, 2008. - David Ilsen, E.J. Roebbers, Gert-Martin Greuel: Algebraic and combinatorial algorithms for translinear network synthesis
IEEE Transactions on Circuits and Systems - I: Regular Papers, 55, 3131 - 3144, 2008. - Pål Hermunn Johansen, Magnus Løberg, Ragni Piene: Monoid hypersurfaces
Geometric Modeling and Algebraic Geometry, 55-77, 2008. - Eric Katz, Hannah Markwig, Thomas Markwig: The j-invariant of a plane tropical cubic
Journal of Algebra, 320 (10), 3832-3848, 2008. - George A. Kirkup: Minimal primes over permanental ideals
Transactions of the AMS, 360 (7), 3751-3770, 2008. - Eunjeong Lee, Hyang-Sook Lee, Yoonjin Lee: Eta pairing computation on general divisors over hyperelliptic curves y^2=x^p-x+d
Journal of Symbolic Computation, 43 (6-7), 452-474 , 2008. - Anton Leykin, Jan Verschelde, Ailing Zhao
: Higher-Order Deflation for Polynomial Systems with Isolated Singular Solutions
The IMA Vol. in Math. and its Appl., 146, 79-97, 2008. - Christopher Lyons: Large Monodromy for a Family of Surfaces of General Type with p_g=q=1, K^2=3
2008. - Étienne Mann, Ignacio de Gregorio: Mirror fibrations and root stacks of weighted projective spaces
manuscripta mathematica (Springer), 127 (1), 69-80, 2008. - Hossein Movasati, Stefan Reiter: Painlevé VI equations with algebraic solutions and family of curves
2008. - Hossein Movasati, Stefan Reiter: Heun equations coming from geometry
2008. - Ferran Muiños, Francesc Planas-Vilanova: On the Injectivity of Blowing-Up Ring Morphisms
Journal of Algebra, 320 (8), 3365-3380, 2008. - Hajime Nagoya: Quantization of differential systems with the affine Weyl group symmetries of type C^(1)_N
Journal of Mathematical Sciences of the University of Tokyo, 15 (4), 493-519, 2008. - Tetsuo Nakano: On the Moduli Space of Pointed Algebraic Curves of Low Genus II - Rationality
Tokyo Journal of Mathematics, 31 (1), 147-160, 2008. - Luis Narvaez-Macarro
: Linearity conditions on the Jacobian ideal and logarithmic-meromorphic comparison for free divisors
Contemporary Mathematics (AMS), 474, 245-269, 2008. - Stavros Argyrios Papadakis: The equations of type II_1 unprojection
Journal of Pure and Applied Algebra, 212 (10), 2194-2208, 2008. - Wilhelm Plesken, Daniel Robertz: Elimination for coefficients of special characteristic polynomials
Experimental Mathematics, 17 (4), 499-510, 2008. - Valery G. Romanovski: Time-Reversibility in 2-Dim Systems
Open Systems and Informational Dynamics, 15, 359-370, 2008. - Yihuang Shen
: Tangent cone of numerical semigroup rings with small embedding dimension
2008. - Frank Sottile, Thorsten Theobald
: Line problems in nonlinear computational geometry
Contemporary Mathematics, 453, 411-432, 2008. - Jan Stevens
: Universal abelian covers of superisolated singularities
Mathematische Nachrichten, 282 (8), 1195-1215, 2008. - Christian Stump
: q,t-Fuss-Catalan numbers for finite reflection groups
DMTCS, Proc. of the FPSAC 2008, 2008. - Jukka Tuomela: Kinematic analysis of multibody systems
BIT Numerical Mathematics, 48 (2), 405-421, 2008. - Klaus Wirthmüller: Homological Invariants of Stabilizer States
Quantum Information and Computation, 8 (6-7), 2008. - Feza Arslan, Pinar Mete: Hilbert functions of Gorenstein monomial curves
Proc. of the AMS, 135 (7), 1993-2002, 2007. - Tobias Beck, Josef Schicho
: Parametrization of algebraic curves defined by sparse equations
Applicable Algebra in Engineering, Communication and Computing, 18, 127-150, 2007. - Isabel Bermejo, Ignacio García-Marco, Juan José Salazar-González: An algorithm for checking whether the toric ideal of an affine monomial curve is a complete intersection
Journal of Symbolic Computation, 42 (10), 971-991, 2007. - Samuel Boissière, Alessandra Sarti: Counting lines on surfaces
Ann. Scuola Norm. Sup. Pisa Cl. Sci., 6 (1), 39-52, 2007. - Volker Braun, Burt A. Ovrut, Maximilian Kreuzer, Emanuel Scheidegger
: Worldsheet instantons and torsion curves. Part B: mirror symmetry
Journal of High Energy Physics, 2007 (10), 23-?, 2007. - Antonio Campillo, José Ignacio Farrán, María-Jesús Pisabarro: Evaluation codes at singular points of algebraic differential equations
Applicable Algebra in Engineering, Communication and Computing, 18 (1-2), 191-203, 2007. - Antonio Campillo, Gert-Martin Greuel, Christoph Lossen
: Equisingular Deformations of Plane Curves in Arbitrary Characteristic
Compositio Mathematica, 143 (4), 829-882, 2007. - Antonio Campillo, Gert-Martin Greuel, Christoph Lossen
: Equisingular calculations for plane curve singularities
Journal of Symbolic Computation, 42 (1-2), 89-114, 2007. - F. J. Castro-Jiménez, J. M. Ucha, J. Àlvarez Montaner: Localization at hyperplane arrangements: Combinatorics and D-modules
Journal of Algebra, 316 (2), 662-679, 2007. - Eduardo Cattani, Raymond Curran: Restriction of A-discriminants and dual defect toric varieties
Journal of Symbolic Computation, 42 (1-2), 115-135, 2007. - Eduardo Cattani, Alicia Dickenstein: Counting Solutions to Binomial Complete Intersections
Journal of Complexity, 23 (1), 82-107, 2007. - Guillaume Chèze, Grégoire Lecerf: Lifting and recombination techniques for absolute factorization
Journal of Complexity , 23 (3), 380-420, 2007. - A.R. Chouikha, V.G. Romanovski, X. Chen X
: Isochronicity of analytic systems via Urabe's criterion
Journal of Physics A: Mathematical and Theoretical, 40 (10), 2313-2327, 2007. - David Cox, Jessica Sidman: Secant varieties of toric varieties
Journal of Pure and Applied Algebra, 209 (3), 651-669, 2007. - Maria Angelica Cueto, Alicia Dickenstein
: Some results on inhomogeneous discriminants
Biblioteca de la Revista Matemática Iberoamericana, 2007. - Sławomir Cynk, Sławomir Rams: On a map between two K3 surfaces associated to a net of quadrics
Archiv der Mathematik, 88 (2), 109-122, 2007. - Alberto Damiano, Irene Sabadini, Daniele C. Struppa: Computational methods for the construction of a class of Noetherian operators
Experimental Mathematics, 16 (1) , 41-53, 2007. - James K. Deveney, David R. Finston: Additive group actions with finitely generated invariants
Osaka Journal of Mathematics, 44 (1), 91-98, 2007. - Mathias Drton, Bernd Sturmfels, Seth Sullivant: Algebraic Factor Analysis: Tetrads, Pentads and Beyond
Probability Theory and Related Fields, 138 (3-4), 463-493, 2007. - M'Hammed El Kahoui, Said Rakrak: Structure of Gröbner bases with respect to block orders
Mathematics of Computation, 76 (260), 2181-2187, 2007. - Eivind Eriksen, Trond Stølen Gustavsen: Computing obstructions for existence of connections on modules
Journal of Symbolic Computation, 42 (3), 313-323, 2007. - R. M. Falcón, J. Martín-Morales: Gröbner bases and the number of Latin squares related to autotopisms of order ≤ 7
Journal of Symbolic Computation, 42 (11-12), 1142-1154, 2007. - Stephen E. Fienberg: Expanding the statistical toolkit with algebraic statistics
Statistica Sinica, 17 (4), 1261-1272, 2007. - Anne Frühbis-Krüger: An Application of Resolution of Singularities: Computing the topological Zeta-function of isolated surface singularities in (C^3,0)
in Singularity Theory, World Scientific Publishing, 2007. - Eberhard Freitag, Riccardo Salvati Manni
: Modular forms for the even unimodular lattice of signature (2,10)
Journal of Algebraic Geometry, 16, 753-791, 2007. - Eberhard Freitag, Riccardo Salvati Manni: The modular variety of hyperelliptic curves of genus three
2007. - Hans-Christian Graf von Bothmer, Oliver Labs, Josef Schicho, Christiaan van de Woestijne: The Casas-Alvero conjecture for infinitely many degrees
Journal of Algebra, 316 (1), 224-230, 2007. - Edward L. Green, Øyvind Solberg: An algorithmic approach to resolutions
Journal of Symbolic Computation, 42 (11-12), 1012-1033, 2007. - Martin G. Gulbrandsen
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Report of Institut Mittag-Leffler, 22, 2007. - Serkan Hosten, Seth Sullivant
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2007. - Anders Nedergaard Jensen: A non-regular Gröbner fan
Discrete & Computational Geometry, 37 (3), 443-453, 2007. - David Joyner, Amy Ksir, Tony Shashka: Bases for Riemann-Roch spaces of cyclic curves
2007. - Louis H. Kauffman, Simon King, Sostenes Lins: A State Sum Link Invariant of Regular Isotopy
2007. - Simon A. King
: Fast Computation of Secondary Invariants
2007. - Simon A. King: Minimal generating sets of non-modular invariant rings of finite groups
2007. - Simon A. King: Ideal Turaev-Viro invariants
Topology and its Applications, 154 (6), 1141-1156, 2007. - Simon A. King: Fast Computation of Non-Modular Invariant Rings
2007, extended abstract. - Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba: Canonical forms for polynomial and quadratic differential operators
Systems & Control Letters, 56 (11-12), 678-684, 2007. - Viktor Levandovskyy: Foreword from the Editor
Journal of Symbolic Computation, 42 (11-12), 1001-1002, 2007. - Huishi Li
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2007. - M. Maniatis, A. von Manteuffel, O. Nachtmann
: Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM
The European Physics Journal, 49 (4), 1067-1076, 2007. - Thomas Markwig: Families of Curves and a Lifting Problem for Tropical Varieties
Habilitationsschrift (TU Kaiserslautern), 2007. - Bernd Martin, Hendrik Süß: Milnor Algebras versus Modular Germs for Unimodal Hypersurface Singularities
An. St. Univ. Ovidius Constanta, 15 (1), 111-128, 2007. - Michael Monagan, Roman Pearce
: Polynomial Division Using Dynamic Arrays, Heaps, and Packed Exponent Vectors
Lecture Notes in Computer Science, 4770, 295-315, 2007. - Hossein Movasati
: On Ramanujan relations between Eisenstein series
2007. - Hossein Movasati: Modular foliations and periods of hypersurfaces
2007. - Hossein Movasati: Mixed Hodge structure of affine hypersurfaces
Annales de l'institut Fourier (Grenoble), 57 (3), 775-801, 2007. - Stavros Argyrios Papadakis: Towards a general theory of unprojection
Kyoto Journal of Mathematics, 47 (3), 579-598, 2007. - Stavros Argyrios Papadakis: Some calculations on type II_1 unprojection
2007. - Jens Piontkowski: On the number of cusps of rational cuspidal plane curves
Experimental Mathematics, 16 (2), 251-255, 2007. - Tony J. Puthenpurakal: Ratliff-Rush filtration, regularity and depth of higher associated graded modules: Part I
Journal of Pure and Applied Algebra, 208 (1), 159-176, 2007. - Tony J. Puthenpurakal, Fahed Zulfeqarr: Ratliff-Rush filtrations associated with ideals and modules over a Noetherian ring
Journal of Algebra, 311 (2), 551-583, 2007. - Stuart Raby, Akin Wingerter
: Can String Theory Predict the Weinberg Angle?
Phys. Rev. D, 76 (8), 2007. - Valery G Romanovski: Bifurcations of Periodic Points of Some Algebraic Maps
Mathematics in Computer Science, 1, 253-265., 2007. - Valery G. Romanovski: Periodic points of some algebraic maps
Electronic Transactions on Numerical Analysis, 27, 156-162, 2007. - Valery G. Romanovski, X. Chen, Z. Hu: Linearizability of linear systems perturbed by fifth degree homogeneous polynomials
Journal of Physics A: Mathematical and Theoretical, 40 (22), 5905-5919, 2007. - Diego Ruano: Computing the Feng-Rao distances for codes from order domains
Journal of Algebra, 309 (2), 672-682, 2007. - James Ruffo
: A straightening law for the Drinfeld Lagrangian Grassmannian
Proc. of the ISSAC, 323-330, 2007. - Eduardo Sáenz-de-Cabezón: Homological description of Monomial Ideals using Mayer-Vietoris Trees
RICAM, Proc. of the MEGA 2007, 2007. - Mathias Schulze: A criterion for the logarithmic differential operators to be generated by vector fields
Proc. of the AMS, 135 (11), 3631-3640 , 2007. - Caleb McKinley Shor
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Serdica Journal of Computing, 1 (2), 2007. - Pham Tien Son, Ha Huy Vui: Minimizing polynomial functions
Acta Mathematica Vietnamica, 32 (1), 71-82, 2007. - Hirotachi Abo, Chris Peterson: Implementation of Kumar's correspondence
Proc of the ISSAC '06, 9-16, 2006. - Hirotachi Abo, Frank-Olaf Schreyer
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London Math. Soc. Lecture Notes (Cambridge Univ. Press), 324, 1-12, 2006. - Tatiana Bandman, Gert-Martin Greuel, Fritz Grunewald, Boris Kunyavskii, Gerhard Pfister, Plotkin Eugene: Engel-like Identities characterizing Finite Solvable Groups
Compositio Mathematica, 142 (3), 734-764, 2006. - Enrique Artal Bartolo, Ignacio Luengo Velasco, Alejandro Melle-Hernandez: Superisolated Surface Singularities
London Math. Soc. Lecture Notes, 324, 13-39, 2006. - Isabel Bermejo, Philippe Gimenez: Saturation and Castelnuovo-Mumford regularity
Journal of Algebra, 303 (2), 592-617, 2006. - Isabel Bermejo, Philippe Gimenez, Marcel Morales: Castelnuovo-Mumford regularity of projective monomial varieties of codimension two
Journal of Symbolic Computation, 41 (10), 1105-1124, 2006. - Samuel Boissière: Towards the multiplicative behavior of the K-theoretical McKay correspondence
Mathematische Zeitschrift, 252 (3), 533-555, 2006. - Markus Brodmann, Peter Schenzel: On varieties of almost minimal degree in small codimension
Journal of Algebra, 305 (2), 789-801, 2006. - Markus Brodmann, Peter Schenzel: Arithmetic properties of projective varieties of almost minimal degree
Journal of Algebraic Geometry, 16 (2), 347-400, 2006. - Stanislav Bulygin: Generalized Hermitian Codes over GF(2^r)
IEEE Transactions on Information Theory, 52 (10), 4664-4669, 2006. - Yuguo Chen, Ian H. Dinwoodie, Seth Sullivant: Sequential importance sampling for multiway tables
Annals of Statistics, 34 (1), 523-545, 2006. - P. Chrusciel, Gert-Martin Greuel, R. Meinel, J. Szybka: The Ernst equation and ergosurfaces
Class. Quant. Grav., 23 (13), 4399-4414, 2006. - S. C. Coutinho, Luis Menasché Schechter: Algebraic solutions of Holomorphic Foliations: an Algorithmic Approach
Journal of Symbolic Computation, 41 (5), 603-618, 2006. - Sƚawomir Cynk, Duco van Straten: Infinitesimal deformations of double covers of smooth algebraic varieties
Mathematische Nachrichten, 279 (7), 716-726, 2006. - Mathias Drton
: Algebraic Techniques for Gaussian Models
Prague Stochastics (Matfyzpress, Charles University Prague), 81-90, 2006. - Mathias Drton: Computing all roots of the likelihood equations of seemingly unrelated regressions
Journal of Symbolic Computation, 41(2), 245-254, 2006. - Bálint Felszeghy, Balázs Ráth, Lajos Rónyai
: The lex game and some applications
Journal of Symbolic Computation, 41 (6), 663-681, 2006. - Bálint Felszeghy, Balázs Ráth, Lajos Rónyai: The lex game and some applications
Journal of Symbolic Computation, 41 (6), 663-681, 2006. - Mitsushi Fujimoto, Masakazu Suzuki, Kazuhiro Yokoyama: On polynomial curves in the affine plane
Osaka Journal of Mathematics, 43 (3), 597-608, 2006. - Carlos Galindo, M. Sanchis: Evaluation codes and plane valuations
Designs, Codes and Cryptography, 41 (2), 199-219, 2006. - Vladimir P. Gerdt, Yuri A. Blinkov: On Computing Janet Bases for Degree Compatible Orderings
Proc. of the 10th Rhine Workshop on Computer Algebra (Basel, Switzerland), 107-117, 2006. - Vladimir P. Gerdt, Yuri A. Blinkov, Vladimir V. Mozzhilkin
: Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations
SIGMA, 2 (51), 2006. - Tobias Hirsch, Bernd Martin: Deformations with section: Cotangent cohomology, flatness conditions and modular subgerms
Journal of Mathematical Sciences, 132 (6), 739-756, 2006. - J. William Hoffman, Hao Hao Wang
: Curvilinear Base Points, Local Complete Intersection and Kozsul Syzygies in Biprojective Spaces
Trans. Amer. Math. Soc., 358, 3385-3398, 2006. - Pål Hermunn Johansen: Topics in algebraic geometry and geometric modeling
PhD Thesis (Oslo University), 2006. - Mikael Vejdemo Johansson
: On low degree regular sequences in group cohomology
2006. - David Joyner, Amy Ksir, Tony Shashka: Bases for Riemann-Roch spaces of hyperelliptic curves
2006. - Hanspeter Kraft: A result of Hermite and equations of degree 5 and 6
Journal of Algebra, 297 (1), 234-253, 2006. - Hanspeter Kraft: A result of Hermite and equations of degree 5 and 6
Journal of Algebra, 297 (1), 234-253, 2006. - Katsiaryna Krupchyk, Werner M. Seiler, Jukka Tuomela: Overdetermined elliptic systems
Foundations of Computational Mathematics, 6 (3), 309-351, 2006. - Katsiaryna Krupchyk, Jukka Tuomela: The Shapiro-Lopatinskij condition for elliptic boundary value problems
LMS Journal of Computation and Mathematics, 9, 287-329, 2006. - Oliver Labs: Dessins d'Enfants and Hypersurfaces with Many A_j-Singularities
Journal of the LMS, 74 (3), 607-622, 2006. - Antonio Laface, Luca Ugaglia: On a class of special linear systems of P^3
Transactions of the AMS, 358 (12), 5485-5500, 2006. - Manfred Lehn, Christoph Sorger: La singularité de O'Grady
Journal of Algebraic Geometry, 15 (4), 753-770, 2006. - Anton Leykin, Jan Verschelde, Ailing Zhao
: Newton's method with deflation for isolated singularities of polynomial systems
Theoretical Computer Science, 359 (1-3), 111-122, 2006. - Christoph Lossen, Gerhard Pfister
: Aspects of Gert-Martin Greuel's Mathematical Work
London Mathematical Society, 2006. - Laura Felicia Matusevich, Ezra Miller
: Combinatorics of rank jumps in simplicial hypergeometric systems
Proc. Amer. Math. Soc., 134, 1375-1381, 2006. - Laura Felicia Matusevich, Ezra Miller: Combinatorics of rank jumps in simplicial hypergeometric systems
Proc. of the AMS, 134 (5), 1375-1381, 2006. - Hossein Movasati, Stefen Reiter: Hypergeometric series and Hodge cycles of four dimensional cubic hypersurfaces
International Journal of Number Theory, 2 (3), 397-416, 2006. - Uwe Nagel, Tim Römer: Extended degree functions and monomial modules
Transactions of the AMS, 358 (8), 3571-3589, 2006. - James Ruffo, Yuval Sivan, Evgenia Soprunova, Frank Sottile: Experimentation and conjectures in the real Schubert calculus for flag manifolds
Experimental Mathematics, 15 (2), 199-221, 2006. - Evgenia Soprunova, Frank Sottile: Lower Bounds for Real Solutions to Sparse Polynomial Systems
Advances in Mathematics, 204 (1), 116-151, 2006. - Jan Stevens
: Sextic Surfaces With Ten Triple Points
Lecture Notes of LMS, Cambridge University Press, 2006. - Martijn van Manen: Conflict sets, orthotomics, pedals and billards as canonical relations
Mathematical Proceedings of the Cambridge Philosophical Society, 141 (2), 339-353, 2006. - Marius Vlădoiu: Discrete Polymatroids
An. St. Univ. Ovidius Constanta, 14 (2), 97-120, 2006. - Hao Hao Wang, J. William Hoffman: Curvilinear base points, local complete intersection and Koszul syzygies in biprojective spaces
Transactions of the AMS, 358 (8), 3385-3398, 2006. - Eva Zerz, Viktor Levandovskyy
: Algebraic systems theory and computer algebraic methods for some classes of linear control systems
Proc. Math. Theory Networks Systems, 536-541, 2006. - William A. Adkins, J. William Hoffman, Hao Hao Wang : Equations of parametric surfaces with base points via syzygies
Journal of Symbolic Computation, 39 (1), 73-101, 2005. - L. C. O. Almeida, S. C. Coutinho: On homogenous minimal involutive varieties
LMS Journal of Computation and Mathematics, 8, 301-315, 2005. - Frühbis-Krüger Anne, Pfister Gerhard: Some Applications of Resolution of Singularities from a Practical Point of View
Computational Commutative and Non-commutative Algebraic Geometry (Chisinau 2004),NATO Science Series III,Computer and Systems Sciences , 196, 104--117, 2005. - Corina Baciu: Maximal Cohen-Macaulay Modules over the Affine Cone of the Simple Node
2005. - Corina Baciu, Viviana Ene, Gerhard Pfister, Dorin Popescu: Rank two Cohen-Macaulay modules over singularities of type x_1^3+x_2^3+x_3^3+x_4^3
Journal of Algebra, 292 (2), 447-491, 2005. - Tobias Beck, Josef Schicho: Sparse parametrization of plane curves
RICAM, 2005. - Carles Bivià-Ausina: Jacobian ideals and the Newton non-degeneracy condition
Proc. of the Edinburgh Mathematical Society (Series 2), 48 (1), 21-36, 2005. - Sonja Breske
: Konstruktion von Flächen mit vielen reellen Singularitäten mit Hilfe von Faltungspolynomen
Diploma Thesis (Johannes-Gutenberg-Universität Mainz), 2005. - Enrico Carlini, Fabio Rapallo: The Geometry of Statistical Models for Two-Way Contingency Tables with Fixed Odds Ratios
Rend. Inst. Math. Univ. Triest, 37, 71-84, 2005. - David C. Carothers, G. Edgar Parker, James S. Sochacki, Paul G. Warne: Some properties of solutions to polynomial systems of differential equations
Electronic Journal of Differential Equations, 40, 1-17, 2005. - Luis Abel Castorena: Curves of genus seven that do not satisfy the Gieseker-Petri theorem
Bollettino dell unione matematica italiana. Sezione B: articoli di ricerca matematica, 8 (3), 697-706, 2005. - Luis Abel Castorena: Characteristic frequencies, polynomial-exponential trajectories, and linear exact modeling with multidimensional behaviors
Bollettino dell unione matematica italiana. Sezione B: articoli di ricerca matematica, 8 (3), 697-706, 2005. - Eduardo Cattani, Alicia Dickenstein: Introduction to residues and resultants
Algorithms and Computation in Mathematics, 14, 2005. - Sławomir Cynk, Christian Meyer: Geometry and arithmetic of certain double octic Calabi-Yau manifolds
Canadian Mathematical Bulletin, 48 (2), 180-194, 2005. - Javier Fernández de Bobadilla: Answers to some equisingularity questions
Inventiones Mathematicae, 161 (3), 657-675, 2005. - Mike Develin, Francisco Santos, Bernd Sturmfels
: On the rank of a tropical matrix
Discrete and Computational Geometry (E. Goodman, J. Pach and E. Welzl, eds.), MSRI Publications, (Cambridge Univ. Press), 52, 213-242, 2005. - Alicia Dickenstein, Ioannis Z. Emiris
: Solving polynomial equations: foundations, algorithms, and applications
Algorithms and Computation in Mathematics, 14, 2005. - Marc Dohm, Mohamed Elkadi, André Galligo
: µ-Bases of Algebraic Curves and Surfaces
2005. - Markus Eiswirth, Karin Gatermann, Anke Sensse
: Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems
Journal of Symbolic Computation, 40 (6), 1361-1382, 2005. - Yong Feng, Xijin Tang: A New Efficient Algorithm for Solving Systems of Multivariate Polynomial Equations
Cryptology ePrint Archive, 312, 2005. - J. Gago-Vargas, M. I. Hartillo-Hermoso, J. M. Ucha-Enríquez: Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials
Journal of Symbolic Computation, 40 (3), 1076-1086, 2005. - Karin Gatermann, Serkan Hoşten: Computational algebra for bifurcation theory
Journal of Symbolic Computation, 40 (4-5), 1180-1207, 2005. - Karin Gatermann, Matthias Wolfrum: Bernstein's second theorem and Viro's method for sparse polynomial systems in chemistry
Advances in Applied Mathematics, 34 (2), 252-294, 2005. - Martin G. Gulbrandsen: A partial resolution of the punctual Hilbert scheme of a nonsingular surface
Mathematica Scandinavica, 96 (1), 5-21, 2005. - Mohammad A. A. Hamad, Fouad S. Ibrahim, Mohammad A. Mansour: Lie-group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinite vertical flat plate
Electronic Journal of Differential Equations, 2005 (39), 1-17, 2005. - Serkan Hoşten, Amit Khetan, Bernd Sturmfels: Solving the likelihood equations
Foundations of Computational Mathematics, 5 (4), 389-407, 2005. - Pål Hermunn Johansen: The Geometry of the Tangent Developable
Computational Methods for Algebraic Spline Surfaces, 95-106, 2005. - Tomaž Košira, B. A. Sethuraman: A Groebner basis for the 2 times 2 determinantal ideal mod t^2
Journal of Algebra, 292 (1), 138-153, 2005. - Oliver Labs
: A Sextic with 35 Cusps
2005. - Martin Lotz: On numerical invariants in algebraic complexity theory
PhD Thesis (University Paderborn), 2005. - I. Luengo-Velasco, Alejandro Melle-Hernández, A. Némethi: Links and analytic invariants of superisolated singularities
Journal of Algebraic Geometry, 14 (3), 543-565, 2005. - Paulo A. Machado Fonseca, Israel Vainsencher: Les degrés des variétés des matrices nilpotentes
Journal of Algebra, 288 (2), 485-504, 2005. - Sihem Mesnager: Test of epimorphism for finitely generated morphisms between affine algebras over computational rings
Journal of Algebra and its Applications, 4 (4), 405-419, 2005. - Hossein Movasati
: Differential modular forms, Elliptic curves and Ramanujan foliation
2005. - Anke Sensse: Convex and toric geometry to analyze complex dynamics in chemical reaction systems
PhD Thesis (Magdeburg University), 2005. - Namrata Shekhar, Priyank Kalla, Florian Enescu, Sivaram Gopalakrishnan
: Exploiting Vanishing Polynomials for Equivalence Verification of Fixed-Size Arithmetic Datapaths
ICCD, 2005. - Namrata Shekhar, Priyank Kalla, Florian Enescu, Sivaram Gopalakrishnan: Equivalence Verification of Polynomial Datapaths with Fixed-Size Bit-Vectors using finite Ring Algebra
Proc. of the ICCAD, 291-296, 2005. - Michael Stillman
: Tools for computing primary decompositions and applications to ideals associated to Bayesian networks
Algorithms and Computation in Mathematics, 14, 2005. - Frühbis-Krüger Anne: Partial Standard Bases as a Tool for Studying Families of Singularities
J.Symb.Comp., 38, 1191--1205, 2004. - Frank Bauer
: An Alternative Approach to the Oblique Derivative Problem in Potential Theory
Berichte aus der Mathematik, Shaker Verlag, Aachen, 2004. - Arnaud Bodin: Computation of Milnor numbers and critical values at infinity
Journal of Symbolic Computation, 38 (5), 1417-1427, 2004. - René Brandenberg, Thorsten Theobald: Algebraic methods for computing smallest enclosing and circumscribing cylinders of simplices
Applicable Algebra in Engineering, Communication and Computing, 14 (6), 2004. - F. J. Castro-Jiménez, J. M. Ucha: On the computation of Bernstein-Sato ideals
Journal of Symbolic Computation, 37 (5), 629-639, 2004. - Juan Elias
: Depth of higher associated graded rings
Journal of the London Mathematical Society, Cambridge University Press, 70, 41-58, 2004. - Béla Finta
: Finding Roots of nonlinear System of Equations on a Domain
Mathematica Pannonica, 15 (1), 37-44, 2004. - Luis David Garcia-Puente: Algebraic geometry of Bayesian networks
PhD Thesis (Blacksburg University, Virginia), 2004. - Antonio Laface, Luca Ugaglia: A counterexample to a conjecture on linear systems on P^3
Advances in Geometry, 4 (3), 365-371, 2004. - Jérôme Lebrun, Ivan Selesnick: Gröbner bases and wavelet design
Journal of Symbolic Computation, 37 (2), 227-259, 2004. - Daniel P. McAllaster: Some Algorithms in Algebraic Geometry
2004. - Sihem Mesnager: Construction of the integral closure of an affine domain in a finite field extension of its quotient field
Journal of Pure and Applied Algebra, 194 (3), 311-327, 2004. - Tatsuji Mori, Tetsuo Nakano: On the Moduli Space of Pointed Algebraic Curves of Low Genus - A Computational Approach
Tokyo Journal of Mathematics, 27 (1), 239-253, 2004. - Shun-Ichiro Okuda: Kernels of derivations in positive characteristic
Hiroshima Mathematical Journal, 34 (1), 1-19, 2004. - Hyungju Park: Symbolic computation and signal processing
Journal of Symbolic Computation, 37 (2), 209-226, 2004. - Wiland Schmale, Pramod K. Sharma: Cyclizable matrix pairs over C[x] and a conjecture on Töplitz pencils
Linear Algebra and its Applications, 389 (1), 33-42, 2004. - Shustin Shustin, Eric Westenberger: Projective hypersurfaces with many singularities of prescribed types
Journal of the LMS, 70 (3), 609-624, 2004. - Jan Stevens
: Some adjacencies to cusp singularities
Real and Complex Singularities. Contemporary Mathematics, Amer. Math. Soc., 354, 291-300, 2004. - Irena Swanson: On the embedded primes of the Mayr-Meyer ideals
Journal of Algebra, 275 (1), 143-190, 2004. - Johannes Zimmer: Stored energy functions for phase transitions in crystals
Archive for Rational Mechanics and Analysis, 172 (2), 191-212, 2004. - Francois Anton, Darka Mioc: A certified predicate for maintaining the topology of the Voronoi diagram for conics
Proc. X Encuentros de Geometria Computacional, 2003. - Thomas Bayer: An Algorithm for Computing Invariants of Linear Actions of Algebraic Groups up to a given Degree
Journal of Symbolic Computation, 35 (4), 441-449, 2003. - Thomas Bayer: Algorithms for the Computation of Moduli Spaces for Semiquasihomogeneous Singularities
Revista Matemática Complutense , 16 (1), 103-129, 2003. - Markus Brodmann, Peter Schenzel: On projective curves of maximal regularity
Mathematische Zeitschrift, 244 (2), 271-289, 2003. - Winfried Bruns, Wolmer V. Vasconcelos: Minors of symmetric and exterior powers
Journal of Pure and Applied Algebra, 179 (3), 235-240, 2003. - Igor Burban, Hans-Georg Freiermuth
: Geometrical properties of sections of Buchsbaum-Rim sheaves
2003. - Massimo Caboara, C. Traverso: Efficient algorithms for basic module operations
2003. - Arthur D. Chtcherba
: A new Sylvester-type Resultant Method based on the Dixon-B�zout Formulation
2003. - A. Collino, Stefan Müller-Stach, Shuji Saito: On K1 and K2 of algebraic surfaces
K-Theory, 30 (1), 37-69, 2003. - Nicolas T. Courtois, Magnus Daum, Patrick Felke
: On the Security of HFE, HFEv- and Quartz
Lecture Notes in Computer Science, 2567, 337-350, 2003. - James Damon: On the Legacy of Free Divisors II: Free* Divisors and Complete Intersections
Moscow Mathematical Journal, 3 (2), 361-395, 2003. - Ruchira S. Datta
: Using computer algebra to find Nash equilibria
Proc. of the ISSAC, 74-79, 2003. - Viviana Ene, Dorin Popescu
: Rank one Maximal Cohen-Macaulay modules over singularities of type Y_1^3+Y_2^3+Y_3^3+Y_4^3
2003. - Gert-Martin Greuel: A Computer Algebra Solution to a Problem in Finite groups
Revista Matematica Iberoamericana, 19 (2), 413-424, 2003. - Agnes Eileen Heydtmann: Sudan-decoding generalized geometric Goppa codes
Finite Fields and Their Applications, 9 (3), 267-285, 2003. - V. H. Jorge Pérez: Polar multiplicities and equisingularity of map germs from C^3 to C^3
Houston Journal of Mathematics, 29 (4), 901-924, 2003. - Viatcheslav Kharlamov, Frank Sottile
: Maximally inflected real rational curves
Moscow Mathematics Journal, 3 (3), 947-987, 2003. - Shrawan Kumar, Jesper Funch Thomsen: A conjectural generalization of the n! result to arbitrary groups
Transformation Groups, 8 (1), 69-94, 2003. - Antonio Laface, Luca Ugaglia
: Quasi-homogeneous linear systems on P^2 with base points of multiplicity 5
Canadian Journal of Mathematics, 55 (3), 561-575, 2003. - Anton Leykin: Algorithms in computational algebraic analysis
PhD Thesis (Minnesota University), 2003. - Christoph Lossen
: Singular: A Computer Algebra System
Computing in Science and Engineering, 5 (4), 45-55, 2003. - Bernd Martin
: Modular Deformations and Space Curve Singularities
Revista Matematica Iberoamericana, 19 (2), 613-621, 2003. - Gábor Megyesi, Frank Sottile, Thorsten Theobald: Common transversals and tangents to two lines and two quadrics in P^3
Discrete and Computational Geometry (Springer), 30 (4), 543-571, 2003. - Gerhard Pfister
: A Problem in Group Theory Solved by Computer Algebra
Proc. of the CCASCA, Sinaia 2002, Kluwer Academic Publishers, 217-223, 2003. - F. Leon Pritchard: On implicit systems of differential equations
Journal of Differential Equations, 194 (2), 328-363, 2003. - Mathias Schulze
: Monodromy of Hypersurface Singularities
Acta Applicandae Mathematicae, 75 (1-3), 3-13, 2003. - Christian Sevenheck
: Lagrange-Singularitäten
Dissertation (Johannes-Gutenberg-Universität Mainz), 2003. - Frank Sottile: Toric ideals, real toric varieties, and the moment map
Proc. of AGGM, Vilnius, Lithuania. Contemporary Mathemathics, 334, 225-240, 2003. - Jan Stevens
: Sextic surfaces with ten triple points
2003. - Irena Swanson: The minimal components of the Mayr-Meyer ideals
Journal of Algebra , 267 (1), 137-155, 2003. - Susumu Tanabé: Combinatorial aspects of the mixed Hodge structure
RIMS Kokyuroku "New aspects of the singularity theory", 2003. - T. Theobald
: New algebraic methods in computational geometry
Habilitationsschrift, 2003. - Martijn van Manen: The geometry of conflict sets
PhD Thesis (Utrecht University, Netherlands), 2003. - Ralf-Philipp Weinmann
: Evaluating algebraic attacks on the AES
Diploma Thesis (Technische Universität Darmstadt), 2003. - Teijo Arponen
: The complete form of a differential algebraic equation
2002. - Thomas Bayer: Moduli Spaces of Low Dimension for Semi Brieskorn-Pham Singularities w.r.t. Right Equivalence
Proc. of the 5th CASC, 7-16, 2002. - Arnaud Bodin
: Non-reality and non-connectivity of complex polynomials
Comptes Rendus Mathematique, 335 (12), 1039-1042, 2002. - Antonio Campillo, José Ignacio Farrán: Symbolic Hamburger-Noether expressions of plane curves and applications to AG codes
Mathematics of Computation, 71 (240), 1759-1780, 2002. - Patrick Dondl
: Modeling and Analysis of Non-Diffusive Structural Phase Transitions in Crystals
Diploma Thesis (Bath University, UK), 2002. - Jean Charles Faugère: A new efficient algorithm for computing Groebner bases without reduction to zero (F5)
Proc. of the ISSAC'02, 75-83, 2002. - Eberhard Freitag
: A graded algebra related to cubic surfaces
Kyushu Journal of Mathematics, 56 (2), 299-312, 2002. - Vladimir P. Gerdt, Yuri A. Blinkov
: Janet Bases of Toric Ideals
JINR E5,11-2001-279, Dubna, Proc. of the 8th Rhine Workshop on Computer Algebra (Mannheim, Germany, 2002), 71-82, 2002. - Hans-Gert Gräbe
: The SymbolicData Benchmark Problems Collection of Polynomial Systems
Proc. "Workshop on Under- and Overdetermined Systems of Algebraic or Differential Equations", Univ. Karlsruhe, 57-76, 2002. - Gert-Martin Greuel, Gerhard Pfister: Computer Algebra and Finite Groups
Proc. of the FICMS, Beijing 2002. World Scientific, 4-14, 2002. - M. I. Hartillo, J. M. Ucha: A Computational Introduction to the Weyl Algebra and D-modules
2002. - Grégoire Lecerf: Quadratic Newton iteration for systems with multiplicity
Foundations of Computational Mathematics, 2 (3), 247-293, 2002. - Martijn van Manen
: Applications of canonical relations in generic differential geometry
2002. - Bernd Martin
: Algorithmic Computation of Flattenings and of Modular Deformations
Journal of Symbolic Computation, 34 (3), 199-212, 2002. - Michel Van den Bergh: Non-commutative crepant resolutions
The legacy of Niels Henrik Abel, Springer, 749-770, 2002. - Isabel Bermejo, Philippe Gimenez: Computing the Castelnuovo-Mumford regularity of some subschemes of P_K^n using quotients of monomial ideals
Journal of Pure and Applied Algebra, 164 (1-2), 23-33, 2001. - S. C. Coutinho, Bruno F. M. Ribeiro: On holomorphic foliations without algebraic solutions
Experimental Mathematics, 10, 529-536, 2001. - Anne Frühbis-Krüger: Computing moduli spaces for space curve singularities
Journal of Pure and Applied Algebra, 164 (1-2), 165-178, 2001. - Ryutaroh Matsumoto: Computing the radical of an ideal in positive characteristic
Journal of Symbolic Computation, 32 (3), 263-271, 2001. - Ivan W. Selesnick: Smooth wavelet tight frames with zero moments
Applied and Computational Harmonic Analysis, 10 (2), 163-181, 2001. - Doris Altmann, Klaus Altmann
: Estimating Vaccine Coverage by Using Computer Algebra
IMA Journal of Mathematics Applied in Medicine and Biology, 17, 137-146, 2000. - Enrique Artal Bartolo, Ignacio Luengo Velasco, Alejandro Melle-Hernández: On the topology of a generic fibre of a polynomial function
Communications in Algebra, 28 (4), 1767-1787, 2000. - Gert-Martin Greuel: Computer Algebra and Algebraic Geometry - Achievements and Perspectives
Journal of Symbolic Computation, 30 (3), 253-290, 2000. - Anna Guerrieri, Irena Swanson: Jacobian ideals of trilinear forms: an application of 1-genericity
Journal of Algebra, 226 (1), 410-435, 2000. - Claus Hertling: Frobenius Manifolds and Variance of the Spectral Numbers
New Developments in Singularity Theory, Proc. of the NATO Advanced Study Institute, Cambridge, 235-255, 2000. - Agnes Eileen Heydtmann, Jørn Møller Jensen: On the equivalence of the Berlekamp-Massey and the Euclidean algorithms for decoding
IEEE Transactions on Information Theory, 46 (7), 2614-2624, 2000. - N. P. Kirk: Computational aspects of classifying singularities
LMS Journal of Computation and Mathematics, 3, 207-228, 2000. - I.W. Selesnick
: Balanced multiwavelet bases based on symmetric FIR filters
IEEE Trans. Signal Proc., 48, 184-191, 2000. - Frank Sottile
: Real Schubert Calculus: Polynomial systems and a conjecture of Shapiro and Shapiro
Experimental Mathematics, 9 (2), 161-182, 2000. - Frank Sottile
: Some real and unreal enumerative geometry for flag manifolds
Michigan Math Journal, 48, 573-592, 2000. - Isabel Bermejo, Philippe Gimenez: On Castelnuovo-Mumford regularity of projective curves
Proc. of the AMS, 128 (5), 1293-1299, 1999. - Anne Frühbis-Krüger: Classification of Simple Space Curve Singularities
Communications in Algebra, 27 (8), 3993-4013, 1999. - Alejandro Melle-Hernández: Euler characteristic of the Milnor fibre of plane singularities
Proc. of the AMS, 127 (9), 2653-2655, 1999. - Stephen F. Siegel, Sarah J. Witherspoon: The Hochschild cohomology ring of a group algebra
Proc. of the LMS, 79 (1), 131-157, 1999. - Massimo Caboara: Optimization of basic algorithms in Commutative Algebra
PhD Thesis (Pisa University), 1998. - Birkett Huber, Frank Sottile, Bernd Sturmfels
: Numerical Schubert calculus
Journal of Symbolic Computation, 26 (6), 767-788, 1998, Journal of Symbolic Computation 20 (1998) 767-788. - Hyungju Park
: Algorithms for Determining Birationality of Parametrization of Affine Curves
1998. - Mesut Şahin: Complete intersection monomial curves and non-decreasing Hilbert functions
PhD Thesis (Bilkent University, Ankara), 2008. - Xingwu Chen: Linearizability conditions of a time-reversible quartic-like system.
- J. Gin\'e, V.G. Romanovski: Linearizability conditions for Lotka--Volterra planar complex cubic systems
J. Phys. A: Math. Theor., 42, 225206-225221. - Jaume Gine: Linearizability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities.
- Eduardo Sáenz-de-Cabezón: Computing the support of monomial iterated mapping cones
Journal of Symbolic Computation, 45 (10), 953-964.
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