On Fano foliations
Algebraic Geometry
2012-01-27 v2
Abstract
In this paper we address Fano foliations on complex projective varieties. These are foliations whose anti-canonical class is ample. We focus our attention on a special class of Fano foliations, namely del Pezzo foliations on complex projective manifolds. We show that these foliations are algebraically integrable, with one exceptional case when the ambient space is a projective space. We also provide a classification of del Pezzo foliations with mild singularities.
Keywords
Cite
@article{arxiv.1112.4512,
title = {On Fano foliations},
author = {Carolina Araujo and Stéphane Druel},
journal= {arXiv preprint arXiv:1112.4512},
year = {2012}
}
Comments
38 pages, several minor clarifications and corrections