D.5.1 classify_lib

Library:

classify.lib

Purpose:

Arnold Classifier of Singularities

Authors:

Kai Krueger, krueger@mathematik.uni-kl.de
Corina Baciu, baciu@mathematik.uni-kl.de

Overview:

A library for classifying isolated hypersurface singularities w.r.t. right equivalence, based on the determinator of singularities by V.I. Arnold.

Procedures:

D.5.1.1 basicinvariants		computes Milnor number, determinacy-bound and corank of
D.5.1.2 classify		normal form of poly f determined with Arnold’s method
D.5.1.3 corank		computes the corank of f (i.e. of the Hessian of f)
D.5.1.4 Hcode		coding of intvec v according to the number repetitions
D.5.1.5 init_debug		print trace and debugging information depending on int n
D.5.1.6 internalfunctions		display names of internal procedures of this library
D.5.1.7 milnorcode		Hilbert poly of [e-th] Milnor algebra coded with Hcode
D.5.1.8 morsesplit		residual part of f after applying the splitting lemma
D.5.1.9 quickclass		normal form of f determined by invariants (milnorcode)
D.5.1.10 singularity		normal form of singularity given by its name s and index
D.5.1.11 swap		returns b,a
D.5.1.12 A_L		shortcut for quickclass(f) or normalform(s)
D.5.1.13 normalform		normal form of singularity given by its name s
D.5.1.14 debug_log		print trace and debugging information w.r.t level>@DeBug