Singular

D.15.18 realclassify_lib

Library:

realclassify.lib

Purpose:

Classification of real singularities

Author:

Magdaleen Marais, [email protected]
Andreas Steenpass, [email protected]

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 classify.lib by Kai Krueger, but handles the real case, while classify.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.15.18.1 realclassify		real classification of singularities of modality 0 and 1
D.15.18.2 realmorsesplit		splitting lemma in the real case
D.15.18.3 milnornumber		Milnor number
D.15.18.4 determinacy		an upper bound for the determinacy