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On Levi-flat hypersurfaces tangent to holomorphic webs. (English. French summary) Zbl 1232.53022
Author’s abstract: We investigate real analytic Levi-flat hypersurfaces tangent to holomorphic webs. We introduce the notion of first integrals for local webs. In particular, we prove that a \(k\)-web with finitely many invariant subvarieties through the origin tangent to a Levi-flat hypersurface has a holomorphic first integral.

53A60 Differential geometry of webs
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