Objects

Functionality

Libraries

Examples

Availability

Contributors

Some libraries written in the SINGULAR language


Singularity Theory
classify.lib Classification of isolated hypersurface singularities
deform.lib versal deformations of isolated singularities
gaussman.lib Monodromy, V-Filtration and Spectrum for isolated hypersurface singularities
hnoether.lib Hamburger-Noether (Puiseux) development
mondromy.lib Monodromy of an isolated hypersurface singularity
sing.lib procedures for singularities, e.g. dimension, Milnor, Tjurina numbers, T1, T2
spcurve.lib Utilities for CM codimension 2 Singularities
Commut. algebra
primdec.lib Primary decomposition based on Gianni / Traeger / Zacharias and on Shimoyama / Yokoyama
normal.lib Ring normalization
elim.lib Elimination, saturation, blowing up
homolog.lib Exti, Massey-products, versal deformation of modules
mregular.lib Castelnuovo-Mumford regularity
Invariant Theory
finvar.lib Invariant rings
qhmoduli.lib Moduli spaces for semi-quasihomogeneous isolated hypersurface singularities
stratify.lib Algorithmic stratification w.r.t. the action of a unipotent group
Solving
solve.lib Solving of polynomial systems
Visualization
latex.lib Typesetting SINGULAR objects in LaTeX
surf.lib Procedures for graphics with surf (only for Linux PCs and Sun workstations)
Linear Algebra
matrix.lib Procedures for matrix operations (e.g., tensor, gauss_col, gauss_row...)
jordan.lib Jordan normal form
Others
brnoeth.lib Brill-Noether algorithm, AG Codes
intprog.lib Integer Programming, Toric Varieties

Paris 7-2-01 http://www.singular.uni-kl.de