Alexandre Sukhov: Singular Levi-flat hypersurfaces, foliations and webs
Title: Singular Levi-flat hypersurfaces, foliations and webs.
Abstract: A singular Levi-flat hypersurface M is a real analytic hypersurface (in general, with singularities) which is Levi flat near every regular point. The regular part of M is foliated by complex hypersurfaces (the Levi foliation). In general, the Levi foliation does not extend to a full neighborhood of a singular point of M as a (singular) holomorphic foliation. We prove that it extends as a holomorphic web, i.e., a singular holomorphic foliation with (finite) branching. This is a joint work (Comment. Math. Helvet. 2015) with R. Shafikov (University of Western Ontario).
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