Singularities of holomorphic codimension one foliations of the complex projective plane
Dynamical Systems
2023-03-22 v3
Abstract
We prove that any holomorphic codimension 1 foliation on the complex projective plane has at most one singular point up to the action of an ad-hoc birational self map of the complex projective plane into itself. Consequently, any algebraic foliation on the affine plane has no singularities up to the action of a suitable birational self map of the complex projective plane into itself.
Keywords
Cite
@article{arxiv.2301.10313,
title = {Singularities of holomorphic codimension one foliations of the complex projective plane},
author = {Dominique Cerveau and Julie Déserti},
journal= {arXiv preprint arXiv:2301.10313},
year = {2023}
}