Topology of leaves of generic logarithmic foliations on $\mathbb{CP}^2$
Complex Variables
2019-09-25 v1 Dynamical Systems
Abstract
We describe the topological types of leaves of generic logarithmic foliations on the complex projective plane. We prove that all leaves, except for a finite many are biholomorphic to or homeomorphic to the surface known as Loch Ness monster.
Keywords
Cite
@article{arxiv.1909.10610,
title = {Topology of leaves of generic logarithmic foliations on $\mathbb{CP}^2$},
author = {Diego Rodríguez-Guzmán},
journal= {arXiv preprint arXiv:1909.10610},
year = {2019}
}
Comments
Key words: Singular Foliations, Logarithmic Foliations, Topology of Leaves. 1 figure