D.5.4 gaussman_lib

Library:

gaussman.lib

Purpose:

Algorithmic Gauss-Manin Connection

Author:

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

Overview:

A library to compute Hodge-theoretic invariants
of isolated hypersurface singularities

Procedures:

D.5.4.1 gmsring		Gauss-Manin system of t with variable s
D.5.4.2 gmsnf		Gauss-Manin normal form of p
D.5.4.3 gmscoeffs		Gauss-Manin basis representation of p
D.5.4.4 bernstein		roots of the Bernstein polynomial of t
D.5.4.5 monodromy		Jordan data of complex monodromy of t
D.5.4.6 spectrum		singularity spectrum of t
D.5.4.7 sppairs		spectral pairs of t
D.5.4.8 spnf		spectrum normal form of (a,m,V)
D.5.4.9 sppnf		spectral pairs normal form of (a,w,m,V)
D.5.4.10 vfilt		V-filtration of t on Brieskorn lattice
D.5.4.11 vwfilt		weighted V-filtration of t on Brieskorn lattice
D.5.4.12 tmatrix		C[[s]]-matrix of t on Brieskorn lattice
D.5.4.13 endvfilt		endomorphism V-filtration on Jacobian algebra
D.5.4.14 spprint		print spectrum sp
D.5.4.15 sppprint		print spectral pairs spp
D.5.4.16 spadd		sum of spectra sp1 and sp2
D.5.4.17 spsub		difference of spectra sp1 and sp2
D.5.4.18 spmul		linear combination of spectra sp
D.5.4.19 spissemicont		semicontinuity test of spectrum sp
D.5.4.20 spsemicont		semicontinuous combinations of spectra sp0 in sp
D.5.4.21 spmilnor		Milnor number of spectrum sp
D.5.4.22 spgeomgenus		geometrical genus of spectrum sp
D.5.4.23 spgamma		gamma invariant of spectrum sp

See also: mondromy_lib; spectrum_lib.