On the algebraic hypersurfaces invariant by weighted projective foliations

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dc.creatorCorrea, Mauricio
dc.date2009-01-13
dc.date2009-05-20
dc.date.accessioned2026-07-07T13:16:19Z
dc.date.available2026-07-07T13:16:19Z
dc.descriptionIn this work we study some problems related with algebraic hypersurfaces invariant by foliations on weighted projective spaces $\mathbb{P}_{\mathbb{C}}(\varpi_0,...,\varpi_n)$ generalizing some results known for $\p$, as for example: the number of singularities, with multiplicities, contained in the invariant quasi-smooth hypersurfaces; Poincare problem on weighted projective plane and the number of the hypersurfaces, of a degree fixed, invariant by a foliation on $\mathbb{P}_{\mathbb{C}}(\varpi_0,...,\varpi_n)$ which does not admit a rational first integral.
dc.identifierhttps://arxiv.org/abs/0901.1710
dc.identifierhttp://arxiv.org/abs/0901.1710
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230751
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.titleOn the algebraic hypersurfaces invariant by weighted projective foliations
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