Top
Back: equalJinI
Forward: arnoldListAllSeries
FastBack:
FastForward:
Up: Singular Manual
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.6.3 arnoldclassify_lib

Library:
arnoldClassify.lib
Purpose:
Arnol'd Classifier of Singularities
Author:
Eva Maria Hemmerling, ehemmerl@rhrk.uni-kl.de

Overview:
A library for classifying isolated hypersurface singularities from the list of V.I. Arnol'd w.r.t. right equivalence up to corank 2. The method relies on Baciu's list of Milnor codes and Newton's rotating ruler method to distinguish the Y- and Z- singularities.

References:
[AVG85] Arnold, Varchenko, Gusein-Zade: Singularities of Differentiable Maps. Vol. 1: The classification of critical points caustics and wave fronts. Birkh"auser, Boston 1985

[Bac01] Corina Baciu: The classification of Hypersurface Singularities using the Milnor Code, Diplomarbeit, Universit"at Kaiserslautern, 2001.

[GP12] Greuel, Pfister: A SINGULAR Introduction to Commutative Algebra, Springer Science and Business Media, 2012

[Hem17] Eva Maria Hemmerling: Algorithmic Arnol'd Classification in SINGULAR, Master Thesis, TU Kaiserslautern, 2017.

Procedures:

D.6.3.1 arnoldListAllSeries  list of all singularity series up to corank 2
D.6.3.2 arnoldShowSeries  data defining a singularity series S
D.6.3.3 arnoldNormalForm  normalform for a singularity series S
D.6.3.4 arnoldClassify  singularity class of a power series f
D.6.3.5 arnoldClassify_to_string  singularity class of a power series f
D.6.3.6 arnoldCorank  corank of singularity defined by f
D.6.3.7 arnoldDeterminacy  upper bound for the determinacy of f
D.6.3.8 arnoldMilnorCode  Milnor Code of a singularity f
D.6.3.9 arnoldMorseSplit  result of Splitting Lemma applied to f
See also: classify_lib; realclassify_lib.


Top Back: equalJinI Forward: arnoldListAllSeries FastBack: FastForward: Up: Singular Manual Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4.3.1, 2022, generated by texi2html.