Work

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

Year: 2026

Type: article

Abstract: We define a class of nonsingular holomorphic foliations on compact complex tori which generalizes (in higher codimension) the turbulent foliations of codimension one constructed by Ghys in [12]. For those smooth turbulent foliations we prove that all transversely holomorphic Cartan geometries are flat. We also establish a uniqueness result for the transversely holomorphic Cartan geometries.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1863

Authors: Indranil Biswas, Sorin Dumitrescu

Institutions: Shiv Nadar University, Centre National de la Recherche Scientifique, Université Côte d'Azur, Laboratoire Jean-Alexandre Dieudonné

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Award: Isomonodromic Deformations and Modular Dynamics