Holomorphic foliations with no transversely projective structure

2024/02/17 by Indranil Biswas, Biswas, Indranil, Sorin Dumitrescu +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2402.11310

openalex publication_date 2024/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Cited by

• Turbulent holomorphic foliations on compact complex tori and transversely holomorphic Cartan geometry

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