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math.AG2026
Semi-finite vector bundles on complex tori
Pavan Adroja, Sanjay Amrutiya
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 pr…
math.AG2025
On semi-finite vector bundles with connection over Kahler manifolds
Sanjay Amrutiya, Indranil Biswas
Let be a compact connected Kähler manifold. We consider the category of flat holomorphic connections over satisfying the cond…
math.AG2018★ 1 cited
A note on certain Tannakian group schemes
Sanjay Amrutiya
In this note, we prove that the F-fundamental group scheme is birational invariant for smooth projective varieties. We prove that the F-fundamental group scheme is naturally a quot…