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D.6.13 gmssing_lib
- Library:
- gmssing.lib
- Purpose:
- Gauss-Manin System of Isolated Singularities
- Author:
- Mathias Schulze, mschulze at mathematik.uni-kl.de
- Overview:
- A library for computing invariants related to the Gauss-Manin system of an
isolated hypersurface singularity.
- References:
- [Sch01] M. Schulze: Algorithms for the Gauss-Manin connection. J. Symb. Comp.
32,5 (2001), 549-564.
[Sch02] M. Schulze: The differential structure of the Brieskorn lattice. In: A.M. Cohen et al.: Mathematical Software - ICMS 2002. World Scientific (2002).
[Sch03] M. Schulze: Monodromy of Hypersurface Singularities. Acta Appl. Math. 75 (2003), 3-13.
[Sch04] M. Schulze: A normal form algorithm for the Brieskorn lattice. J. Symb. Comp. 38,4 (2004), 1207-1225.
Procedures:
See also: dmod_lib; gmspoly_lib; mondromy_lib; spectrum_lib.
D.6.13.1 gmsring Gauss-Manin system of t with variable s D.6.13.2 gmsnf Gauss-Manin normal form of p D.6.13.3 gmscoeffs Gauss-Manin basis representation of p D.6.13.4 bernstein Bernstein-Sato polynomial of t D.6.13.5 monodromy Jordan data of complex monodromy of t D.6.13.6 spectrum singularity spectrum of t D.6.13.7 sppairs spectral pairs of t D.6.13.8 vfilt V-filtration of t on Brieskorn lattice D.6.13.9 vwfilt weighted V-filtration of t on Brieskorn lattice D.6.13.10 tmatrix matrix of t w.r.t. good basis of Brieskorn lattice D.6.13.11 endvfilt endomorphism V-filtration on Jacobian algebra D.6.13.12 sppnf spectral pairs normal form of (a,w[,m]) D.6.13.13 sppprint print spectral pairs spp D.6.13.14 spadd sum of spectra sp1 and sp2 D.6.13.15 spsub difference of spectra sp1 and sp2 D.6.13.16 spmul linear combination of spectra sp D.6.13.17 spissemicont semicontinuity test of spectrum sp D.6.13.18 spsemicont semicontinuous combinations of spectra sp0 in sp D.6.13.19 spmilnor Milnor number of spectrum sp D.6.13.20 spgeomgenus geometrical genus of spectrum sp D.6.13.21 spgamma gamma invariant of spectrum sp