Holomorphic foliations with no transversely projective structure

We prove that on the product of two elliptic curves a generic nonsingular turbulent holomorphic foliation does not admit any transversely holomorphic projective structure.

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Publication Details

Journal
Annales de la faculté des sciences de Toulouse Mathématiques
Published
2026-01-13
DOI
https://doi.org/10.5802/afst.1840
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
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article

Holomorphic foliations with no transversely projective structure

Sorin Dumitrescu, Indranil Biswas
Annales de la faculté des sciences de Toulouse Mathématiques
Geometry and complex manifolds
article

Holomorphic foliations with no transversely projective structure

Sorin Dumitrescu, Indranil Biswas
article en

Abstract

We prove that on the product of two elliptic curves a generic nonsingular turbulent holomorphic foliation does not admit any transversely holomorphic projective structure.

Annales de la faculté des sciences de Toulouse MathématiquesVol. 35(1)
Centre National de la Recherche Scientifique (FR), Université Côte d'Azur (FR), Shiv Nadar University (IN)
Openalex Percentile: Top 85%
Geometry and complex manifolds
DOIOpen Access PDFOpenAlex
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Holomorphic foliations with no transversely projective structure — Sorin Dumitrescu, Indranil Biswas · Annales de la faculté des sciences de Toulouse Mathématiques (2026) | TGRS Research Map | TGRS