Birational geometry of foliations associated to simple derivations
Algebraic Geometry
2018-12-17 v3 Commutative Algebra
Complex Variables
Abstract
We propose a study of the foliations of the projective plane induced by simple derivations of the polynomial ring in two indeterminates over the complex field. These correspond to foliations which have no invariant algebraic curve nor singularities in the complement of a line. We establish the position of these foliations in the birational classification of foliations and prove the finiteness of their birational symmetries. Most of the results apply to wider classes of foliations.
Keywords
Cite
@article{arxiv.1701.00790,
title = {Birational geometry of foliations associated to simple derivations},
author = {Gael Cousin and Luis Gustavo Mendes and Ivan Pan},
journal= {arXiv preprint arXiv:1701.00790},
year = {2018}
}
Comments
28 pages, revised enhanced version