Deformations Feuilletees Des Varietes De Hopf

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dc.creatorMeersseman, Laurent
dc.creatorNicolau, Marcel
dc.creatorVerjovsky, Alberto
dc.date2009-02-25
dc.date.accessioned2026-07-07T12:46:41Z
dc.date.available2026-07-07T12:46:41Z
dc.descriptionIn this article, we focus on a very special class of foliations with complex leaves whose diffeomorphism type is fixed. They have a unique compact leaf and the noncompact leaves all accumulate onto it. We show that the complex structure along the non-compact leaves is fixed by the complex structure of the compact leaf. Reciprocally, we prove that the complex structure along a non-compact leaf determines the complex structure along the other leaves. We apply these results to the study of foliated deformations of Hopf manifolds, a foliated analogue to the notion of deformation in the large.
dc.identifierhttps://arxiv.org/abs/0902.4301
dc.identifierhttp://arxiv.org/abs/0902.4301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221467
dc.subjectComplex Variables
dc.titleDeformations Feuilletees Des Varietes De Hopf
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