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Singular Levi-flat hypersurfaces and codimension one foliations

Marco Brunella
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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.

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Marco Brunella. 2007-01-22. Singular Levi-flat hypersurfaces and codimension one foliations. https://arxiv.org/abs/math/0701607

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