On the Characterization of Algebraically Integrable Plane Foliations

Abstract

We give a characterization theorem for non-degenerate plane foliations of degree different from 1 having a rational first integral. Moreover, we prove that the degree r of a non-degenerate foliation as above provides the minimum number, r+ 1, of points in the projective plane through which pass infinitely many algebraic leaves of the foliation. 

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Cite this paper

@inproceedings{Galindo2008OnTC, title={On the Characterization of Algebraically Integrable Plane Foliations}, author={Claudia Martins Galindo}, year={2008} }