Pull-back of singular Levi-flat hypersurfaces

Autor:	Arturo Fernández-Pérez, Andrés Beltrán, Hernán Neciosup
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Surface (mathematics) Pure mathematics Mathematics::Complex Variables Mathematics - Complex Variables General Mathematics Holomorphic function Hypersurface 32V40 - 32S65 FOS: Mathematics Algebraic curve Complex Variables (math.CV) Invariant (mathematics) Mathematics Meromorphic function
Popis:	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. Comment: Accepted to publication in Arkiv f\"or Matematik
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c069a0d0754c509ec2e7ca4a97fda9c0 http://arxiv.org/abs/2107.01229 Zobrazit plný text záznamu