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:
* gmsring:: Gauss-Manin system of t with variable s
* gmsnf:: Gauss-Manin normal form of p
* gmscoeffs:: Gauss-Manin basis representation of p
* bernstein:: roots of the Bernstein polynomial of t
* monodromy:: Jordan data of complex monodromy of t
* spectrum:: singularity spectrum of t
* sppairs:: spectral pairs of t
* spnf:: spectrum normal form of (a,m,V)
* sppnf:: spectral pairs normal form of (a,w,m,V)
* vfilt:: V-filtration of t on Brieskorn lattice
* vwfilt:: weighted V-filtration of t on Brieskorn lattice
* tmatrix:: C[[s]]-matrix of t on Brieskorn lattice
* endvfilt:: endomorphism V-filtration on Jacobian algebra
* spprint:: print spectrum sp
* sppprint:: print spectral pairs spp
* spadd:: sum of spectra sp1 and sp2
* spsub:: difference of spectra sp1 and sp2
* spmul:: linear combination of spectra sp
* spissemicont:: semicontinuity test of spectrum sp
* spsemicont:: semicontinuous combinations of spectra sp0 in sp
* spmilnor:: Milnor number of spectrum sp
* spgeomgenus:: geometrical genus of spectrum sp
* spgamma:: gamma invariant of spectrum sp
See also:
mondromy_lib;
spectrum_lib.


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&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; User manual for <a href="http://www.singular.uni-kl.de/"><i>Singular</i></a> version 2-0-4, October 2002,
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