2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210553We 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 $r$ of a non-degenerated foliation as above provides the minimum number, $r+1$, of points in the projective plane through which infinitely many algebraic leaves of the foliation go.To appear in Trans. Amer. Math. SocDynamical SystemsAlgebraic Geometry32S65text