Singular

D.15.31 realclassify_lib

Library:

realclassify.lib

Purpose:

Classification of real singularities

Author:

Janko Boehm, boehm@mathematik.uni-kl.de
Magdaleen Marais, magdaleen@aims.ac.za
Andreas Steenpass, steenpass@mathematik.uni-kl.de

Overview:

A library for classifying isolated hypersurface singularities over the reals w.r.t. right equivalence, based on the determinator of singularities by V.I. Arnold. This library is based on classify2.lib by the first and second author and G. Pfister, but handles the real case, while classify2.lib does the complex classification.

References:

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

Greuel, Lossen, Shustin: Introduction to singularities and deformations. Springer, Berlin 2007

Procedures:

D.15.31.1 realclassify		real classification of singularities of modality 0 and 1 up to stable equivalence
D.15.31.2 realmorsesplit		splitting lemma in the real case
D.15.31.3 milnornumber		Milnor number
D.15.31.4 determinacy		an upper bound for the determinacy
D.15.31.5 addnondegeneratevariables		find a right equivalent normal form by adding the non-degenerate variables