Mathematics > Algebraic Geometry
arXiv:2605.28256 (math)
[Submitted on 27 May 2026]
Abstract:Take a holomorphic Lie algebroid $(V,\phi)$ over a rationally connected smooth complex projective variety $X$. We show that, under certain conditions, a vector bundle $E$ over $X$ admits a $(V,\phi)$-connection if and only if $E$ is trivial. Moreover, we prove that under the same conditions, any $(V,\phi)$-connection over $X$ is flat.
Submission history
From: Anoop Singh [view email]
[v1]
Wed, 27 May 2026 10:06:01 UTC (9 KB)
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