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}
}
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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  • J. Pereira
  • Mathematics
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
  • 2018
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