realclassify swMATH ID: 10872 Software Authors: Marais, Magdaleen S.; Steenpaß, Andreas Description: The classification of real singularities using Singular. I: Splitting lemma and simple singularities. 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 the Singular library realclassify.lib (Marais and Steenpaß, 2012). Homepage: http://www.singular.uni-kl.de/Manual/4-0-0/sing_2084.htm Dependencies: Singular Keywords: hypersurface singularities; algorithmic classification; real geometry Related Software: realclassify.lib; SINGULAR; primdec; grobcov.lib; rootsur.lib; classify.lib Cited in: 2 Documents Cited by 2 Authors 2 Marais, Magdaleen S. 2 Steenpaß, Andreas Cited in 1 Serial 2 Journal of Symbolic Computation Cited in 1 Field 2 Algebraic geometry (14-XX) Citations by Year