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–Fernández-Pérez–Mol.
Funding Statement
This work was supported by the Pontifícia Universidad Católica del Perú project VRIDGI-2018-0024. The second author is partially supported by CNPq-Brazil Grant Number 302790/2019-5.
Citation
Andrés Beltrán. Arturo Fernández-Pérez. Hernán Neciosup. "Pull-back of singular Levi-flat hypersurfaces." Ark. Mat. 59 (2) 307 - 321, October 2021. https://doi.org/10.4310/ARKIV.2021.v59.n2.a3
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