Pavan Adroja

activity

20232026

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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.DG2026

Smooth relative connections on quiver bundles

Pavan Adroja, Sanjay Amrutiya, Riddhi Patil

We develop a theory of smooth relative connections over the real path algebra $R Q$ on smooth twisted quiver bundles. We give obstructions to the existence of a smooth rela…

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

Smooth relative connections on quiver bundles

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