On the characterization of algebraically integrable plane foliations

dc.creatorGalindo, C.
dc.creatorMonserrat, F.
dc.date2008-12-12
dc.date.accessioned2026-07-07T12:12:28Z
dc.date.available2026-07-07T12:12:28Z
dc.descriptionWe 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.
dc.descriptionTo appear in Trans. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/0812.2434
dc.identifierhttp://arxiv.org/abs/0812.2434
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210553
dc.subjectDynamical Systems
dc.subjectAlgebraic Geometry
dc.subject32S65
dc.titleOn the characterization of algebraically integrable plane foliations
dc.typetext

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