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Minimal morsifications for functions of two real variables

I. A. Proskurnin

Lomonosov Moscow State University

Abstract: In this paper we give an explicit construction of morsifications with the smallest topologically possible number of real critical points for functions of two variables with smooth level-set branches, as well as for semiquasihomogenous functions of two real variables.

Keywords: curve singularities, deformations of singularities, real curves, semiquasihomogenous functions.

UDC: 512.772.1

DOI: 10.22405/2226-8383-2018-21-1-381-387