Indranil Biswas

collaborators

5 papers

math.AG2025

Holomorphic Lie algebroid connections on holomorphic principal bundles on compact Riemann surfaces

Indranil Biswas

For a $Γ$ --equivariant holomorphic Lie algebroid $(V, ϕ)$ , on a compact Riemann surface $X$ equipped with an action of a finite group $Γ$ , we investigate the equivariant holomorp…

math.AG2025

Applications of the Liouville symplectic form on the cotangent bundle of a loop group

Indranil Biswas, Michi-aki Inaba, Arata Komyo +2

Let $G$ be a semisimple, simply connected, affine algebraic group defined over $C$ . Consider the Liouville symplectic structure on the total space $T^{*} G ((t))$ of the cotang…

math.AG2025

A criterion for holomorphic Lie algebroid connections

David Alfaya, Indranil Biswas, Pradip Kumar +1

Given a holomorphic Lie algebroid $(V, ϕ)$ on a compact connected Riemann surface $X$ , we give a necessary and sufficient condition for a holomorphic vector bundle $E$ on $X$ to ad…

math.AG2025

Prym varieties and projective structures on Riemann surfaces

Indranil Biswas, Alessandro Ghigi, Luca Vai

Given an étale double covering $π : C ⟶ C$ of compact Riemannsurfaces with $C$ of genus at least two, we use the Prym variety of the cover to cons…

math.AG2025

Brauer group of moduli of parabolic symplectic bundles

Indranil Biswas, Sujoy Chakraborty, Arijit Dey

Let $X$ be a smooth connected complex projective curve of genus $g$ , with $g \geq 3$ . Fix an integer $r \geq 2$ , a finite subset $D \subset X$ , and a line bundle $L$ on $X$ .…