# Compact leaves of codimension one holomorphic foliations on projective manifolds

@article{Claudon2015CompactLO,
title={Compact leaves of codimension one holomorphic foliations on projective manifolds},
author={Beno{\^i}t Claudon and Frank Loray and Jorge Vit'orio Pereira and Fr'ed'eric Touzet},
journal={arXiv: Classical Analysis and ODEs},
year={2015}
}
• B. Claudon, +1 author F. Touzet
• Published 21 December 2015
• Mathematics
• arXiv: Classical Analysis and ODEs
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…
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