English

Singular Levi-flat hypersurfaces and codimension one foliations

Complex Variables 2007-05-23 v1

Abstract

We study Levi-flat real analytic hypersurfaces with singularities. We prove that the Levi foliation on the regular part of the hypersurface can be holomorphically extended, in a suitable sense, to neighbourhoods of singular points.

Keywords

Cite

@article{arxiv.math/0701607,
  title  = {Singular Levi-flat hypersurfaces and codimension one foliations},
  author = {Marco Brunella},
  journal= {arXiv preprint arXiv:math/0701607},
  year   = {2007}
}

Comments

10 pages