Codimension one holomorphic foliations on $\mathbb P^n_{\mathbb C}$: problems in complex geometry
Dynamical Systems
2012-02-28 v2
Abstract
After a short review on foliations, we prove that a codimension 1 holomorphic foliation on with simple singularities is given by a closed rational 1-form. The proof uses Hironaka-Matsumura prolongation theorem of formal objects.
Cite
@article{arxiv.1201.6165,
title = {Codimension one holomorphic foliations on $\mathbb P^n_{\mathbb C}$: problems in complex geometry},
author = {Dominique Cerveau},
journal= {arXiv preprint arXiv:1201.6165},
year = {2012}
}