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arXiv · 2107.01229

Pull-back of singular Levi-flat hypersurfaces

Andrés Beltrán·Arturo Fernández-Pérez·Hernán Neciosup
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Abstract

We study singular real analytic Levi-flat subsets invariant by singular holomorphic foliations in complex projective spaces. We give sufficient conditions for a real analytic Levi-flat subset to be the pull-back of a semianalytic Levi-flat hypersurface in a complex projective surface under a rational map or to be the pull-back of a real algebraic curve under a meromorphic function. In particular, we give an application to the case of a singular real analytic Levi-flat hypersurface. Our results improve previous ones due to Lebl and Bretas -- Fern\'andez-P\'erez -- Mol.

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Andrés Beltrán, Arturo Fernández-Pérez, Hernán Neciosup. 2021-07-02. Pull-back of singular Levi-flat hypersurfaces. https://arxiv.org/abs/2107.01229

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