Indranil Biswas

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math.AG2026

On the projective structures given by theta

Indranil Biswas, Luca Vai

Given a compact Riemann surface $C$ , the line in $H^{0} (J_{C}, 2 I^)$ orthogonal to the sections vanishing at $0$ produces a natural projective structure on $C$ . We investigate the pr…

math.AG2026

Holomorphic Lie algebroid connections over rationally connected varieties

Indranil Biswas, Anoop Singh

Take a holomorphic Lie algebroid $(V, I ¨ )$ over a rationally connected smooth complex projective variety $X$ . We show that, under certain conditions, a vector bundle $E$ over $X$ ad…

math.AG2026

Theta functions for singular curves

Indranil Biswas, Jacques Hurtubise

Let $X$ be an irreducible singular Riemann surface, with desingularisation $X$ . The generalised Jacobian $J (X)$ of $X$ fibers over the Jacobian $J (X)$ of $\w…

math.AG2026

Existence of holomorphic Lie algebroid connections in higher dimensions

Indranil Biswas, Anoop Singh

Let $(V, I ¨ )$ be a holomorphic Lie algebroid over an irreducible smooth complex projective variety $X$ of dimension at least three, and let $E$ be a holomorphic vector bundle on $X…

math.AG2025

Induced Representations on Character Varieties of Surfaces

Indranil Biswas, Jacques Hurtubise, Lisa C. Jeffrey +1

We show that a Frobenius reciprocity map on character varieties of surfaces is a Poisson embedding.

math.AG2025

Moduli spaces of framed logarithmic and parabolic connections on a Riemann surface

Indranil Biswas, Michi-aki Inaba, Arata Komyo +1

We construct moduli spaces of framed logarithmic connections and also moduli spaces of framed parabolic connections. It is shown that these moduli spaces possess a natural algebrai…