paper

Singular Levi-flat hypersurfaces and codimension one foliations

arXiv:math/0701607

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.

10 pages

Singular Levi-flat hypersurfaces and codimension one foliations · wovepaper