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


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