Foliations invariant by rational maps
Complex Variables
2010-03-16 v2 Algebraic Geometry
Abstract
We give a classification of pairs (F, f) where F is a holomorphic foliation on a projective surface and f is a non-invertible dominant rational map preserving F. We prove that both the map and the foliation are integrable in a suitable sense.
Keywords
Cite
@article{arxiv.0907.1367,
title = {Foliations invariant by rational maps},
author = {C. Favre and J. Vitorio Pereira},
journal= {arXiv preprint arXiv:0907.1367},
year = {2010}
}
Comments
17 pages. To appear in Math. Zeitshrift.