Top
Back: gbasis
Forward: gmsring
FastBack: gmspoly_lib
FastForward: hnoether_lib
Up: Singularities
Top: Singular 2-0-6 Manual
Contents: Table of Contents
Index: Index
About: About this document

D.5.7 gmssing_lib

Library:
gmssing.lib
Purpose:
Gauss-Manin System of Isolated Singularities

Author:
Mathias Schulze, email: mschulze@mathematik.uni-kl.de

Overview:
A library to compute invariants related to the the Gauss-Manin system of an isolated hypersurface singularity

Procedures:

D.5.7.1 gmsring  Gauss-Manin system of t with variable s
D.5.7.2 gmsnf  Gauss-Manin normal form of p
D.5.7.3 gmscoeffs  Gauss-Manin basis representation of p
D.5.7.4 bernstein  roots of the Bernstein polynomial of t
D.5.7.5 monodromy  Jordan data of complex monodromy of t
D.5.7.6 spectrum  singularity spectrum of t
D.5.7.7 sppairs  spectral pairs of t
D.5.7.8 vfilt  V-filtration of t on Brieskorn lattice
D.5.7.9 vwfilt  weighted V-filtration of t on Brieskorn lattice
D.5.7.10 tmatrix  matrix of t w.r.t. good basis of Brieskorn lattice
D.5.7.11 endvfilt  endomorphism V-filtration on Jacobian algebra
D.5.7.12 sppnf  spectral pairs normal form of (a,w[,m])
D.5.7.13 sppprint  print spectral pairs spp
D.5.7.14 spadd  sum of spectra sp1 and sp2
D.5.7.15 spsub  difference of spectra sp1 and sp2
D.5.7.16 spmul  linear combination of spectra sp
D.5.7.17 spissemicont  semicontinuity test of spectrum sp
D.5.7.18 spsemicont  semicontinuous combinations of spectra sp0 in sp
D.5.7.19 spmilnor  Milnor number of spectrum sp
D.5.7.20 spgeomgenus  geometrical genus of spectrum sp
D.5.7.21 spgamma  gamma invariant of spectrum sp
Bernstein polynomial See also: gmspoly_lib; mondromy_lib; spectrum_lib.


Top Back: gbasis Forward: gmsring FastBack: gmspoly_lib FastForward: hnoether_lib Up: Singularities Top: Singular 2-0-6 Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 2-0-6, November 2004, generated by texi2html.