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Pré-Publication, Document De Travail Année : 2009

DEFORMATIONS FEUILLETEES DES VARIETES DE HOPF

Résumé

In 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.
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Dates et versions

hal-00363022 , version 1 (20-02-2009)

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Laurent Meersseman, Marcel Nicolau, Alberto Verjovsky. DEFORMATIONS FEUILLETEES DES VARIETES DE HOPF. 2009. ⟨hal-00363022⟩
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