On the characterization of algebraically integrable plane foliations
Dynamical Systems
2008-12-15 v1 Algebraic Geometry
Abstract
We give a characterization theorem for non-degenerated plane foliations of degree different from 1 having a rational first integral. Moreover, we prove that the degree of a non-degenerated foliation as above provides the minimum number, , of points in the projective plane through which infinitely many algebraic leaves of the foliation go.
Keywords
Cite
@article{arxiv.0812.2434,
title = {On the characterization of algebraically integrable plane foliations},
author = {C. Galindo and F. Monserrat},
journal= {arXiv preprint arXiv:0812.2434},
year = {2008}
}
Comments
To appear in Trans. Amer. Math. Soc