On Levi-flat hypersurfaces tangent to holomorphic webs
Complex Variables
2011-09-14 v2
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 -web with finitely many invariant analytic subvarieties through the origin tangent to a Levi-flat hypersurface has a holomorphic first integral.
Keywords
Cite
@article{arxiv.1109.1608,
title = {On Levi-flat hypersurfaces tangent to holomorphic webs},
author = {Arturo Fernández-Pérez},
journal= {arXiv preprint arXiv:1109.1608},
year = {2011}
}
Comments
Accepted for publication in Ann. Fac. Sci. Toulouse