Minimal deformations of semihomogenous vector fields

Minimal deformations of semihomogenous vector fields

(Russian, English abstract)

Proskurnin I. A.
Siberian Electronic Mathematical Reports, 21, 2, pp. 1473-1482 (2024)

УДК 515.171.16 
DOI: 10.33048/semi.2024.21.094  
MSC 37C25


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