Pavan Adroja

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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.AG2026

Brauer group of moduli of stable parabolic $SL (r, C)$ and $PGL (r, C)$ -connections and Higgs bundles over a curve

Pavan Adroja, Sujoy Chakraborty

Let $X$ be a compact Riemann surface of genus at least $3$ . We compute the Brauer groups of the moduli spaces of stable parabolic $SL (r, C)$ -connections and stable s…

math.AG2025

Notes On Fundamental Groupoid Schemes

Pavan Adroja, Sanjay Amrutiya

In this article, we study the various fundamental groupoid schemes corresponding to Tannakian categories of certain types of vector bundles. We compute fundamental groupoid scheme…

Semi-finite vector bundles on complex tori

Brauer group of moduli of stable parabolic SL(r,C) and PGL(r,C)-connections and Higgs bundles over a curve

Notes On Fundamental Groupoid Schemes

Brauer group of moduli of stable parabolic $SL (r, C)$ and $PGL (r, C)$ -connections and Higgs bundles over a curve