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arXiv · 1109.1608

On Levi-flat hypersurfaces tangent to holomorphic webs

Arturo Fernández-Pérez
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Abstract

We investigate germs of real analytic Levi-flat hypersurfaces tangent to germs of codimension one holomorphic webs. We introduce the notion of first integrals for local webs. In particular, we prove that a $k$-web with finitely many invariant analytic subvarieties through the origin tangent to a Levi-flat hypersurface has a holomorphic first integral.

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Arturo Fernández-Pérez. 2011-09-08. On Levi-flat hypersurfaces tangent to holomorphic webs. https://arxiv.org/abs/1109.1608

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