Indranil Biswas

activity

20152026

collaborators

Showing 2025Show all

10 papers · 1 filter

math.AG2025

Virtual global generation in higher dimensions

Indranil Biswas, Manish Kumar, A. J. Parameswaran

The notion of virtual global generation (VGG) for a vector bundle has multiple possible generalization from the case of curves to higher dimensional normal projective varieties. We…

math.AG2025

Connections and Higgs bundles on curves defined over a number field

Indranil Biswas, Sudarshan Gurjar

Let $X_{0}$ be an irreducible smooth projective curve defined over $Q$ and $E$ a vector bundle on $X_{0}$ . We give a criterion for connections on the base ch…

math.AG2025

Brauer group of moduli stack of parabolic $PSp (r, C)$ --bundles over a curve

Indranil Biswas, Sujoy Chakraborty, Arijit Dey

Take an irreducible smooth complex projective curve $X$ of genus $g$ , with $g \geq 3$ . Let $r$ be an even positive integer. We prove that the Brauer group of the moduli stack of…

math.AG2025

On semi-finite vector bundles with connection over Kahler manifolds

Sanjay Amrutiya, Indranil Biswas

Let $X$ be a compact connected Kähler manifold. We consider the category $C^{EC} (X)$ of flat holomorphic connections $(E, \nabla^{E})$ over $X$ satisfying the cond…

math.AG2025

Torsors over moduli spaces of vector bundles over curves of fixed determinant

Indranil Biswas, Jacques Hurtubise

Let $M$ be a moduli space of stable vector bundles of rank $r$ and determinant $ξ$ on a compact Riemann surface $X$ . Fix a semistable holomorphic vector bundle $F$ on $X…

math.AG2025

On the equivariant vector bundles on $CP^{1}$

Indranil Biswas, Manish Kumar, A. J. Parameswaran

Let $H$ be a subgroup of $PGL (2, C)$ (respectively, $SL (2, C)$ ) such that the Zariski closure in $PGL (2, C)$ (respectively, ${\rm SL}(2,\math…

math.AG2025

Isomorphism of étale fundamental groups lifts to isomorphism of stratified fundamental group

Indranil Biswas, Manish Kumar, A. J. Parameswaran

It is shown that if a finite generically smooth morphism $f : Y ⟶ X$ of smooth projective varieties induces an isomorphism of the étale fundamental groups, then…

math.CV2025

The Hexablock: a domain associated with the $μ$ -synthesis in $M_{2} (C)$

Indranil Biswas, Sourav Pal, Nitin Tomar

We introduce a domain named \textit{hexablock} in $C^{4}$ and show that its origin is a special case of $μ$ -synthesis in $M_{2} (C)$ , more precisely the $μ_{E}$ -unit ball…

math.AG2025

A Belyi-type criterion for vector bundles on curves defined over a number field

Indranil Biswas, Sudarshan Gurjar

Let $X_{0}$ be an irreducible smooth projective curve defined over $Q$ and $f_{0} : X_{0} \to P_{Q}^{1}$ a nonconstant morphism whose…

math.AG2025

Some recent results on the punctual Quot schemes

Indranil Biswas, Chandranandan Gangopadhyay, Ronnie Sebastian

Let $C$ be a smooth projective curve defined over the field of complex numbers. Let $E$ be a vector bundle on $C$ , and fix an integer $d ⩾ 1$ . Let $\mc Q:={\rm Quot}(E,d)$ b…

Virtual global generation in higher dimensions

Connections and Higgs bundles on curves defined over a number field

Brauer group of moduli stack of parabolic PSp(r,C)--bundles over a curve

On semi-finite vector bundles with connection over Kahler manifolds

Torsors over moduli spaces of vector bundles over curves of fixed determinant

On the equivariant vector bundles on CP1

Isomorphism of étale fundamental groups lifts to isomorphism of stratified fundamental group

The Hexablock: a domain associated with the μ-synthesis in M2​(C)

A Belyi-type criterion for vector bundles on curves defined over a number field

Some recent results on the punctual Quot schemes

Brauer group of moduli stack of parabolic $PSp (r, C)$ --bundles over a curve

On the equivariant vector bundles on $CP^{1}$

The Hexablock: a domain associated with the $μ$ -synthesis in $M_{2} (C)$