Singular Levi-flat hypersurfaces and codimension one foliations

Details Singular Levi-flat hypersurfaces and codimension one foliations Singular Levi-flat hypersurfaces and codimension one foliations

2007-01-22

arxiv.org/abs/math/0701607v1

Mathematics

Complex Variables

10 pages

Scientific paper

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.

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