### D.6.4 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.6.4.1 basicinvariants |  | computes Milnor number, determinacy-bound and corank of
> D.6.4.2 classify |  | normal form of polynomial f determined with Arnold's method
> D.6.4.3 corank |  | computes the corank of f (i.e. of the Hessian of f)
> D.6.4.4 Hcode |  | coding of intvec v according to the number repetitions
> D.6.4.5 init_debug |  | print trace and debugging information depending on int n
> D.6.4.6 internalfunctions |  | display names of internal procedures of this library
> D.6.4.7 milnorcode |  | Hilbert polynomial of [e-th] Milnor algebra coded with Hcode
> D.6.4.8 morsesplit |  | residual part of f after applying the splitting lemma
> D.6.4.9 quickclass |  | normal form of f determined by invariants (milnorcode)
> D.6.4.10 singularity |  | normal form of singularity given by its name s and index
> D.6.4.11 A_L |  | shortcut for quickclass(f) or normalform(s)
> D.6.4.12 normalform |  | normal form of singularity given by its name s
> D.6.4.13 debug_log |  | print trace and debugging information w.r.t level>@DeBug
> D.6.4.14 swap |  | swaps the arguments
> D.6.4.15 modality |  | modality of the singularity
> D.6.4.16 complexSingType |  | complex type of the singularity as a string
> D.6.4.17 prepRealclassify |  | the modality and the complex type of the singularity at once

See also: realclassify_lib.

User manual for Singular version 4.4.1, 2025, generated by texi2html.