Semi-Finite Vector Bundles on Complex Tori
Vol. 33 (2026), No. 3, Page 399–409.
Adroja, P. ; Amrutiya, S.
Semi-Finite Vector Bundles on Complex Tori
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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 étale fundamental group scheme and its unipotent fundamental group scheme.
Keywords: Semi–finite bundles, complex torus, Tannakian categories, fundamental group schemes.
Mathematics Subject Classification (2020): 14J60, 14L15, 18M25.
Received: 2026-01-19
