Existence of holomorphic Lie algebroid connections in higher dimensions

Indranil Biswas; Anoop Singh

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arXiv · 2604.06003

Existence of holomorphic Lie algebroid connections in higher dimensions

Indranil Biswas·Anoop Singh

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Abstract

Let $(V, \phi)$ be a holomorphic Lie algebroid over an irreducible smooth complex projective variety $X$ of dimension at least three, and let $E$ be a holomorphic vector bundle on $X$. We establish a necessary and sufficient condition for the existence of a holomorphic $(V, \phi)$--connection on $E$.

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Indranil Biswas, Anoop Singh. 2026-04-07. Existence of holomorphic Lie algebroid connections in higher dimensions. https://arxiv.org/abs/2604.06003

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