activity
20222026
most citedLine bundles on the moduli space of Lie algebroid connections over a curve

1 citations · 1 across the 8 of their papers we have counts for

collaborators

8 papers

math.AG2026

Holomorphic Lie algebroid connections over rationally connected varieties

Indranil Biswas, Anoop Singh

Take a holomorphic Lie algebroid over a rationally connected smooth complex projective variety . We show that, under certain conditions, a vector bundle over adm…

math.AG2026

A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection

David Alfaya, Ashima Bansal, Indranil Biswas +1

Given a holomorphic Lie algebroid on a compact connected Riemann surface , we give a necessary and sufficient condition for a parabolic vector bundle on , with parab…

math.AG2026

Existence of holomorphic Lie algebroid connections in higher dimensions

Indranil Biswas, Anoop Singh

Let be a holomorphic Lie algebroid over an irreducible smooth complex projective variety of dimension at least three, and let be a holomorphic vector bundle on …

math.AG2025

A criterion for holomorphic Lie algebroid connections

David Alfaya, Indranil Biswas, Pradip Kumar +1

Given a holomorphic Lie algebroid on a compact connected Riemann surface , we give a necessary and sufficient condition for a holomorphic vector bundle on to ad…

math.AG2024

A criterion for Lie algebroid connections on a compact Riemann surface

Indranil Biswas, Pradip Kumar, Anoop Singh

Let be a compact connected Riemann surface and a holomorphic Lie algebroid on such that the holomorphic vector bundle is stable. We give a necessary and suffic…

math.AG2024

Parabolic vector bundles and Lie algebroid connections

David Alfaya, Indranil Biswas, Pradip Kumar +1

Given a holomorphic Lie algebroid on an m-pointed Riemann surface, we define parabolic Lie algebroid connections on any parabolic vector bundle equipped with parabolic structure ov…

math.AG2023

Semiprojectivity of the moduli of principal -bundles with -connections

Sumit Roy, Anoop Singh

Let be a compact connected Riemann surface of genus and a connected reductive affine algebraic group over . We prove the semiprojectivity of the modu…

math.AG2022★ 1 cited

Line bundles on the moduli space of Lie algebroid connections over a curve

Indranil Biswas, Anoop Singh

We explore algebro-geometric properties of the moduli space of holomorphic Lie algebroid () connections on a compact Riemann surface of genus . A s…