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arXiv · 2603.17661

Semi-finite vector bundles on complex tori

Pavan Adroja·Sanjay Amrutiya
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Abstract

We study finite and semi-finite vector bundles on complex tori. We give an explicit decomposition of such bundles in terms of torsion and unipotent factors. As a consequence, we prove that the extended Nori fundamental group scheme of a complex torus decomposes as the product of its etale fundamental group scheme and its unipotent fundamental group scheme.

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Pavan Adroja, Sanjay Amrutiya. 2026-03-18. Semi-finite vector bundles on complex tori. https://arxiv.org/abs/2603.17661

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