Compact leaves of codimension one holomorphic foliations on projective manifolds
Classical Analysis and ODEs
2018-08-31 v2 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1512.06623,
title = {Compact leaves of codimension one holomorphic foliations on projective manifolds},
author = {Benoît Claudon and Frank Loray and Jorge Pereira and Frédéric Touzet},
journal= {arXiv preprint arXiv:1512.06623},
year = {2018}
}