| Index Entry | Section |
|---|
|
| G | | |
|---|
| G-algebra | 7.4.1 G-algebras |
| G-algebra | Definition (G-algebra) |
| G-algebra | 7.5.13 nchilbert_lib |
| G-algebra | 7.5.13.0. ncHilb |
| G-algebra, setup | Setting up a G-algebra |
| G_a -Invariants | A.5.1 G_a -Invariants |
| galois field | 4.14 number |
| Gamma | D.5.12.17 Gamma |
| Gauss-Manin connection | C.5 Gauss-Manin connection |
| Gauss-Manin connection | D.6.17 mondromy_lib |
| Gauss-Manin connection | D.6.22.1 spectrumnd |
| Gauss-Manin system | D.6.13 gmssing_lib |
| Gauss-Manin system | D.6.13.1 gmsring |
| Gauss-Manin system | D.6.13.2 gmsnf |
| Gauss-Manin system | D.6.13.3 gmscoeffs |
| Gauss-Manin system | D.6.13.4 bernstein |
| Gauss-Manin system | D.6.13.5 monodromy |
| Gauss-Manin system | D.6.13.6 spectrum |
| Gauss-Manin system | D.6.13.7 sppairs |
| Gauss-Manin system | D.6.13.8 vfilt |
| Gauss-Manin system | D.6.13.9 vwfilt |
| Gauss-Manin system | D.6.13.10 tmatrix |
| Gauss-Manin system | D.6.13.11 endvfilt |
| Gauss-Manin system | D.6.14 gmspoly_lib |
| Gauss-Manin system | D.6.14.2 goodBasis |
| gauss_col | D.3.1.14 gauss_col |
| gauss_nf | D.3.2.13 gauss_nf |
| gauss_row | D.3.1.15 gauss_row |
| gaussColWithoutPerm | D.8.7.6 gaussColWithoutPerm |
| gaussred | D.3.2.11 gaussred |
| gaussred_pivot | D.3.2.12 gaussred_pivot |
| gaussRowWithoutPerm | D.8.7.5 gaussRowWithoutPerm |
| GBsolve | D.8.1.4 GBsolve |
| GBWeight | 7.5.5.0. GBWeight |
| gcd | 5.1.50 gcd |
| gcddivisor | D.12.3.7 gcddivisor |
| gcdMon | D.4.19.3 gcdMon |
| Gelfand-Kirillov dimension | 7.10.3 fpaprops_lib |
| Gelfand-Kirillov dimension, G-Algebra | 7.5.13.0. GKExp |
| gen | 5.1.51 gen |
| General command syntax | 3.5.1 General command syntax |
| General concepts | 3. General concepts |
| general error-locator polynomial | General error-locator polynomial |
| general neron. | D.15.5 GND_lib |
| General purpose | D.2 General purpose |
| General syntax of a ring declaration | 3.3.2 General syntax of a ring declaration |
| general weighted lexicographical ordering | B.2.4 Local orderings |
| general weighted reverse lexicographical ordering | B.2.4 Local orderings |
| general.lib | D.2.3 general_lib |
| general_lib | D.2.3 general_lib |
| Generalized Hilbert Syzygy Theorem | Generalized Hilbert Syzygy Theorem |
| Generalized Newton identities | C.8.3 Generalized Newton identities |
| generalOrder | D.12.5.4 generalOrder |
| generateG | D.12.2.33 generateG |
| generator | D.15.2.3 diffAlgebraGens |
| generator | D.15.2.13 difformIsGen |
| generator | D.15.2.43 derivationContractionGen |
| generators | D.6.1.8 charexp2generators |
| generators | D.15.2.6 diffAlgebraListGen |
| generators | D.15.2.8 difformCoef |
| generators | D.15.2.9 difformGenToString |
| generatorsOfLinealitySpace | D.13.2.21 generatorsOfLinealitySpace |
| generatorsOfSpan | D.13.2.22 generatorsOfSpan |
| generic representation | D.2.4.8 extendpoly |
| genericid | D.2.10.1 genericid |
| genericity | D.11.2.10 genericity |
| genericmat | D.3.1.6 genericmat |
| genMDSMat | D.10.2.11 genMDSMat |
| genoutput | D.5.12.24 genoutput |
| genSymId | D.4.36.1 genSymId |
| genus | D.4.25.5 genus |
| Geometric genus | D.5.11 paraplanecurves_lib |
| Geometric Invariant Theory | A.6 Geometric Invariant Theory |
| Geometric Theorems | D.2.4.21 ADGT |
| geometrical locus | D.2.4.10 locus |
| geometrical locus | D.2.4.11 locusdg |
| geometrical locus | D.2.4.12 envelop |
| geometrical locus | D.2.4.13 locusto |
| geometrical locus | D.2.4.14 stdlocus |
| geometrical locus | D.2.4.15 AssocTanToEnv |
| geometrical locus | D.2.4.16 FamElemsAtEnvCompPoints |
| German Umlaute | 6.1 Limitations |
| getArguments | D.2.13.12 getArguments |
| getCommand | D.2.13.11 getCommand |
| getCone | D.13.2.48 getCone |
| getcores | D.2.11.3 getcores |
| getdump | 5.1.52 getdump |
| getenv | 5.1.153 system |
| getGradingGroup | D.15.11.3 getGradingGroup |
| getLattice | D.15.11.4 getLattice |
| getLinearForms | D.13.2.23 getLinearForms |
| getMaxPoints | D.15.9.3 getMaxPoints |
| getModuleGrading | D.15.11.14 getModuleGrading |
| getMultiplicity | D.13.2.24 getMultiplicity |
| getOneVar | D.4.25.13 getOneVar |
| getRelations | D.8.7.3 getRelations |
| getRelationsRadical | D.8.7.4 getRelationsRadical |
| getResult | D.2.13.13 getResult |
| getSmallest | D.4.25.12 getSmallest |
| getState | D.2.13.14 getState |
| getStringpfd | D.15.12.6 getStringpfd |
| getStringpfd_indexed | D.15.12.7 getStringpfd_indexed |
| Getting started | 2.3 Getting started |
| getVariableWeights | D.15.11.2 getVariableWeights |
| getWitnessSet | D.8.7.7 getWitnessSet |
| gfan.lib | D.13.2 gfan_lib |
| gfan_lib | D.13.2 gfan_lib |
| gfanlib | 1. Preface |
| GIT-Fans | A.6.1 GIT-Fans |
| GITcone | D.13.3.6 GITcone |
| gitCone | D.13.3.30 gitCone |
| GITfan | D.13.3.7 GITfan |
| gitfan.lib | D.13.3 gitfan_lib |
| gitfan_lib | D.13.3 gitfan_lib |
| GITfanFromOrbitCones | D.13.3.8 GITfanFromOrbitCones |
| GITfanParallel | D.13.3.9 GITfanParallel |
| GITfanParallelSymmetric | D.13.3.24 GITfanParallelSymmetric |
| GITfanSymmetric | D.13.3.23 GITfanSymmetric |
| GKdim | 7.5.9.0. GKdim |
| gkdim.lib | 7.5.9 gkdim_lib |
| gkdim_lib | 7.5.9 gkdim_lib |
| GKExp | 7.5.13.0. GKExp |
| GKZfan | D.13.3.10 GKZfan |
| GKZsystem | 7.5.10.0. GKZsystem |
| global | 5.1.2 attrib |
| global Bernstein-Sato ideal | 7.5.6 dmodideal_lib |
| global Bernstein-Sato polynomial | 7.5.2 bfun_lib |
| global Bernstein-Sato polynomial | 7.5.4 dmod_lib |
| global Bernstein-Sato polynomial for variety | 7.5.7 dmodvar_lib |
| global homological dimension | 7.10.3 fpaprops_lib |
| Global orderings | B.2.3 Global orderings |
| globalSections | D.5.4.7 globalSections |
| GMP | 1. Preface |
| GMP | E.3 libSingular |
| gmscoeffs | D.6.13.3 gmscoeffs |
| gmsnf | D.6.13.2 gmsnf |
| gmspoly.lib | D.6.14 gmspoly_lib |
| gmspoly_lib | D.6.14 gmspoly_lib |
| gmsring | D.6.13.1 gmsring |
| gmssing.lib | D.6.13 gmssing_lib |
| gmssing_lib | D.6.13 gmssing_lib |
| GND.lib | D.15.5 GND_lib |
| GND_lib | D.15.5 GND_lib |
| Goettsche's formula | D.5.5 goettsche_lib |
| goettsche.lib | D.5.5 goettsche_lib |
| goettsche_lib | D.5.5 goettsche_lib |
| GoettscheF | D.5.5.1 GoettscheF |
| good basis | D.6.13 gmssing_lib |
| good basis | D.6.13.10 tmatrix |
| good basis | D.6.14 gmspoly_lib |
| good basis | D.6.14.2 goodBasis |
| goodBasis | D.6.14.2 goodBasis |
| graal.lib | D.5.6 graal_lib |
| graal_lib | D.5.6 graal_lib |
| graalMixed | D.5.6.1 graalMixed |
| graded | D.15.2.6 diffAlgebraListGen |
| graded algebra | D.15.1 autgradalg_lib |
| Graded commutative algebras | 7.6 Graded commutative algebras (SCA) |
| graded Hilbert series | 7.10.5 ncHilb_lib |
| graded module, graded piece | D.5.18.8 dimGradedPart |
| graded modules, graded homomorphisms, syzygies | D.15.6 gradedModules_lib |
| graded modules, handling of | A.3.5 Handling graded modules |
| graded piece, second order piece | D.15.18.5 sPiece |
| graded Weyl algebra | 7.5.2 bfun_lib |
| graded-module, graded-resolution, homogenoues-matrix, R-module-homomorphism | D.4.17 modules_lib |
| gradedModules.lib | D.15.6 gradedModules_lib |
| gradedModules_lib | D.15.6 gradedModules_lib |
| gradeNumber | 7.5.23.0. gradeNumber |
| gradiator | D.15.11.47 gradiator |
| graph | D.4.8.1 makeGraph |
| graph | D.4.8.2 printGraph |
| graph | D.5.17.21 makeGraphVE |
| graph | D.5.17.22 printGraphG |
| graphics.lib | D.9.1 graphics_lib |
| graphics_lib | D.9.1 graphics_lib |
| graphviz | 1. Preface |
| Grassmannian | D.5.17.5 Grassmannian |
| Grassmannian, abstract variety, Schubert calculus | D.5.17.5 Grassmannian |
| graver4ti2 | D.4.35.3 graver4ti2 |
| grconcat | D.15.6.23 grconcat |
| grdeg | D.15.6.3 grdeg |
| Greuel, Gert-Martin | Acknowledgements |
| grgens | D.15.6.12 grgens |
| grgroebner | D.15.6.22 grgroebner |
| grlift | D.15.6.20 grlift |
| grlifting | D.15.6.27 grlifting |
| grlifting2 | D.15.6.28 grlifting2 |
| grlifting3 | D.15.6.30 grlifting3 |
| grneg | D.15.6.33 grneg |
| Grob1Levels | D.2.4.24 Grob1Levels |
| grobcov | D.2.4.1 grobcov |
| grobcov.lib | D.2.4 grobcov_lib |
| grobcov_lib | D.2.4 grobcov_lib |
| grobj | D.15.6.1 grobj |
| groebner | 5.1.53 groebner |
| groebner | A.2.1 groebner and std |
| Groebner Bases | A.2 Computing Groebner and Standard Bases |
| Groebner bases for two-sided ideals in free associative algebras | 7.9.3 Groebner bases for two-sided ideals in free associative algebras |
| Groebner bases in free associative algebras | 7.9.3 Groebner bases for two-sided ideals in free associative algebras |
| Groebner bases in G-algebras | 7.4.2 Groebner bases in G-algebras |
| Groebner bases, decodeGB | D.10.2 decodegb_lib |
| Groebner bases, slim | A.2.3 slim Groebner bases |
| groebner basis computations | 5.1.53 groebner |
| Groebner basis conversion | A.2.2 Groebner basis conversion |
| Groebner cover | D.2.4.1 grobcov |
| Groebner cover | D.2.4.8 extendpoly |
| Groebner cover | D.2.4.9 extendGC |
| Groebner fan | D.13.4 polymake_lib |
| Groebner walk | D.4.10.4 awalk2 |
| Groebner walk | D.4.10.6 gwalk |
| Groebner walk | D.15.16.1 prwalk |
| Groebner walk | D.15.16.2 rwalk |
| Groebner-Shirshov bases | 7.9.3 Groebner bases for two-sided ideals in free associative algebras |
| Groebner-Shirshov bases in free associative algebras | 7.9.3 Groebner bases for two-sided ideals in free associative algebras |
| groebnerComplex | D.13.6.41 groebnerComplex |
| groebnerCone | D.13.6.35 groebnerCone |
| groebnerFan | D.13.6.40 groebnerFan |
| Groebnerwalk | D.4.10 grwalk_lib |
| Groebnerwalk | D.15.10 modwalk_lib |
| Groebnerwalk | D.15.16 rwalk_lib |
| Groebnerwalk | D.15.19 swalk_lib |
| Gromov-Witten invariants | D.4.8 ellipticcovers_lib |
| Gromov-Witten invariants | D.4.8.6 gromovWitten |
| Gromov-Witten invariants | D.4.8.7 computeGromovWitten |
| Gromov-Witten invariants, lines on hypersurfaces | D.5.17.30 linesHypersurface |
| Gromov-Witten invariants, multiple covers | D.5.17.29 multipleCover |
| Gromov-Witten invariants, rational curves on Calabi-Yau threefolds | D.5.17.31 rationalCurve |
| Gromov-Witten invariants, rational curves on Calabi-Yau threefolds | D.5.17.32 sumofquotients |
| Gromov-Witten invariants. | D.5.17 schubert_lib |
| gromovWitten | D.4.8.6 gromovWitten |
| grorder | D.15.6.14 grorder |
| ground field | 4.14 number |
| group_reynolds | D.7.1.8 group_reynolds |
| groupActionOnHashes | D.13.3.18 groupActionOnHashes |
| groupActionOnQImage | D.13.3.17 groupActionOnQImage |
| growth of algebra | 7.10.3 fpaprops_lib |
| grpower | D.15.6.10 grpower |
| grpres | D.15.6.13 grpres |
| grprod | D.15.6.21 grprod |
| grrange | D.15.6.32 grrange |
| grres | D.15.6.19 grres |
| grrndmap | D.15.6.25 grrndmap |
| grrndmap2 | D.15.6.26 grrndmap2 |
| grrndmat | D.15.6.24 grrndmat |
| grshift | D.15.6.5 grshift |
| grsum | D.15.6.9 grsum |
| grsyz | D.15.6.18 grsyz |
| grtest | D.15.6.2 grtest |
| grtranspose | D.15.6.11 grtranspose |
| grtranspose1 | D.15.6.15 grtranspose1 |
| grtwist | D.15.6.7 grtwist |
| grtwists | D.15.6.8 grtwists |
| grview | D.15.6.4 grview |
| grwalk.lib | D.4.10 grwalk_lib |
| grwalk_lib | D.4.10 grwalk_lib |
| grzero | D.15.6.6 grzero |
| GTZmod | D.4.20.6 GTZmod |
| GTZopt | D.4.20.13 GTZopt |
| gwalk | D.4.10.6 gwalk |
| Gweights | 7.5.20.0. Gweights |
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