Singular set of a Levi-flat hypersurface is Levi-flat
Complex Variables
2013-12-05 v3 Dynamical Systems
Abstract
We study the singular set of a singular Levi-flat real-analytic hypersurface. We prove that the singular set of such a hypersurface is Levi-flat in the appropriate sense. We also show that if the singular set is small enough, then the Levi-foliation extends to a singular codimension one holomorphic foliation of a neighborhood of the hypersurface.
Keywords
Cite
@article{arxiv.1012.5993,
title = {Singular set of a Levi-flat hypersurface is Levi-flat},
author = {Jiri Lebl},
journal= {arXiv preprint arXiv:1012.5993},
year = {2013}
}
Comments
21 pages, minor typos fixed, updated references, accepted to Math. Ann