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arXiv · 2510.01804

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

Indranil Biswas·Sorin Dumitrescu
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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. 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.

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Indranil Biswas, Sorin Dumitrescu. 2025-10-02. Turbulent holomorphic foliations on compact complex tori and transversely holomorphic Cartan geometry. https://arxiv.org/abs/2510.01804

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