English

Transversely projective holomorphic foliations with singularities

Dynamical Systems 2010-10-08 v2 Complex Variables

Abstract

We study codimension one holomorphic foliations on complex projective spaces and compact manifolds under the assumption that the foliation has a projective transverse structure in the complement of some invariant codimension one analytic subset. The basic motivation is the characterization of pull-backs of Riccati foliations on projective spaces. Our techniques apply to give a description of the generic models of codimension one foliations on compact manifolds of dimension 3\ge 3.

Keywords

Cite

@article{arxiv.math/0412058,
  title  = {Transversely projective holomorphic foliations with singularities},
  author = {Bruno Scardua},
  journal= {arXiv preprint arXiv:math/0412058},
  year   = {2010}
}