Semi-finite vector bundles on complex tori
Algebraic Geometry
2026-03-19 v1
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.
Cite
@article{arxiv.2603.17661,
title = {Semi-finite vector bundles on complex tori},
author = {Pavan Adroja and Sanjay Amrutiya},
journal= {arXiv preprint arXiv:2603.17661},
year = {2026}
}
Comments
8 pages. Accepted for publication in the Journal of Mathematical Sciences, the University of Tokyo