Algebraic Integrability of Foliations of the Plane

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dc.creatorGalindo, C.
dc.creatorMonserrat, F.
dc.date2005-11-16
dc.date2005-12-07
dc.date.accessioned2026-07-07T06:51:20Z
dc.date.available2026-07-07T06:51:20Z
dc.descriptionWe give an algorithm to decide whether an algebraic plane foliation F has a rational first integral and to compute it in the affirmative case. The algorithm runs whenever we assume the polyhedrality of the cone of curves of the surface obtained after blowing-up the set B_F of infinitely near points needed to get the dicritical exceptional divisors of a minimal resolution of the singularities of F. This condition can be detected in several ways, one of them from the proximity relations in B_F and, as a particular case, it holds when the cardinality of B_F is less than 9.
dc.identifierhttps://arxiv.org/abs/math/0511416
dc.identifierhttp://arxiv.org/abs/math/0511416
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104954
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.titleAlgebraic Integrability of Foliations of the Plane
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