Geometry and topology

Minimal deformations of semihomogenous vector fields

I. A. Proskurnin

Moscow State University, Moscow Center of Fundamental and Applied Mathematics, 119991, Moscow, Russia

Abstract: For any semihomogenous vector field on a real plane we construct a deformation with a minimal topologically possible number of singular points.

Keywords: singularities, deformations of singularities, plane vector fields, curve singularities.

UDC: 515.171.16

MSC: 37C25

Received September 30, 2022, published December 31, 2024

DOI: 10.33048/semi.2024.21.094