Invariant sets near singularities of holomorphic foliations
Dynamical Systems
2015-07-29 v1
Abstract
Consider a complex one dimensional foliation on a complex surface near a singularity . If is a closed invariant set containing the singularity , then contains either a separatrix at or an invariant real three dimensional manifold singular at .
Cite
@article{arxiv.1312.0927,
title = {Invariant sets near singularities of holomorphic foliations},
author = {César Camacho and Rudy Rosas},
journal= {arXiv preprint arXiv:1312.0927},
year = {2015}
}