Smooth points of the space of plane foliations with a center
Complex Variables
2022-05-27 v2 Algebraic Geometry
Algebraic Topology
Classical Analysis and ODEs
Abstract
We prove that a logarithmic foliation corresponding to a generic line arrangement of lines in the complex plane, with pairwise natural and co-prime residues, is a smooth point of the center set of plane foliations (vector fields) of degree .
Keywords
Cite
@article{arxiv.2203.04019,
title = {Smooth points of the space of plane foliations with a center},
author = {Lubomir Gavrilov and Hossein Movasati},
journal= {arXiv preprint arXiv:2203.04019},
year = {2022}
}
Comments
The introduction and the last section has been changed. Many typos are corrected