Singular

D.6.3 classify_lib

Library:

classify.lib

Purpose:

Arnold Classifier of Singularities

Author:

Kai Krueger, krueger@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.6.3.1 basicinvariants		computes Milnor number, determinacy-bound and corank of
D.6.3.2 classify		normal form of polynomial f determined with Arnold's method
D.6.3.3 corank		computes the corank of f (i.e. of the Hessian of f)
D.6.3.4 Hcode		coding of intvec v according to the number repetitions
D.6.3.5 init_debug		print trace and debugging information depending on int n
D.6.3.6 internalfunctions		display names of internal procedures of this library
D.6.3.7 milnorcode		Hilbert polynomial of [e-th] Milnor algebra coded with Hcode
D.6.3.8 morsesplit		residual part of f after applying the splitting lemma
D.6.3.9 quickclass		normal form of f determined by invariants (milnorcode)
D.6.3.10 singularity		normal form of singularity given by its name s and index
D.6.3.11 A_L		shortcut for quickclass(f) or normalform(s)
D.6.3.12 normalform		normal form of singularity given by its name s
D.6.3.13 debug_log		print trace and debugging information w.r.t level>@DeBug
D.6.3.14 swap		swaps the arguments
D.6.3.15 modality		modality of the singularity
D.6.3.16 complexSingType		complex type of the singularity as a string
D.6.3.17 prepRealclassify		the modality and the complex type of the singularity at once