Transversely product singularities of foliations in projective spaces

We prove that a transversely product component of the singular set of a holomorphic foliation on $\mathbb{P}^n$ is necessarily a Kupka component.

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Bibliographic Details
Main Author: Rosas, Rudy
Format: Article
Language:English
Published: Académie des sciences 2023-12-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.528/
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Description
Summary:We prove that a transversely product component of the singular set of a holomorphic foliation on $\mathbb{P}^n$ is necessarily a Kupka component.
ISSN:1778-3569