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Pré-Publication, Document De Travail Année : 2015

Compact leaves of codimension one holomorphic foliations on projective manifolds

Benoît Claudon
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Frank Loray

Résumé

This article studies codimension one foliations on projective man-ifolds having a compact leaf (free of singularities). It explores the interplay between Ueda theory (order of flatness of the normal bundle) and the holo-nomy representation (dynamics of the foliation in the transverse direction). We address in particular the following problems: existence of foliation having as a leaf a given hypersurface with topologically torsion normal bundle, global structure of foliations having a compact leaf whose holonomy is abelian (resp. solvable), and factorization results.
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Dates et versions

hal-01247045 , version 1 (21-12-2015)
hal-01247045 , version 2 (29-08-2018)

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Benoît Claudon, Frank Loray, Jorge Vitorio Pereira, Frédéric Touzet. Compact leaves of codimension one holomorphic foliations on projective manifolds. 2015. ⟨hal-01247045v1⟩
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