The classification of real singularities using Singular Part I: Splitting Lemma and simple singularities. (May 2015)

• Record Type: Journal Article
• Authors: Marais, Magdaleen S.; Steenpaß, Andreas
• Is Part Of: Journal of symbolic computation. Volume 68:Part 1(2015)
• Page Start: 61
• Page End: 71
• Publication Date: 2015-05
• Subjects: Hypersurface singularities -- Algorithmic classification -- Real geometry; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2014.08.007
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We present algorithms to classify isolated hypersurface singularities over the real numbers according to the classification by V.I. Arnold (Arnold et al., 1985 ). This first part covers the splitting lemma and the simple singularities; a second and a third part will be devoted to the unimodal singularities up to corank 2. All algorithms are implemented in theSingular libraryrealclassify.lib (Marais and Steenpaß, 2012 ).