126 citations · 697 across the 321 of their papers we have counts for
15 papers · 2 filters
Brauer group of moduli of principal bundles over a curve
Indranil Biswas, Yogish I. Holla
Let be a semisimple linear algebraic group over the field , and let be an irreducible smooth complex projective curve of genus at least three. We compute the Bra…
Moduli of vortices and Grassmann manifolds
Indranil Biswas, Nuno M. Romão
We use the framework of Quot schemes to give a novel description of the moduli spaces of stable n-pairs, also interpreted as gauged vortices on a closed Riemann surface with target…
Stable Higgs bundles on compact Gauduchon manifolds
Indranil Biswas
Let be a compact complex manifold equipped with a Gauduchon metric. If is holomorphically trivial, and (V, θ) is a stable SL(r,{\mathbb C})-Higgs bundle on , then we sh…
Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves
Indranil Biswas, Benjamin McKay
We prove that if a Calabi--Yau manifold admits a holomorphic Cartan geometry, then is covered by a complex torus. This is done by establishing the Bogomolov inequality for…
Chen-Ruan cohomology of some moduli spaces, II
Indranil Biswas, Mainak Poddar
Let X be a compact connected Riemann surface of genus at least two. Let r be a prime number and ξa holomorphic line bundle on it such that r is not a divisor of degree(ξ). Let {\ma…
Brauer group of moduli spaces of pairs
Indranil Biswas, Marina Logares, Vicente Muñoz
We show that the Brauer group of any moduli space of stable pairs with fixed determinant over a curve is zero.
The Period-Index Problem of the Canonical Gerbe of Symplectic and Orthogonal Bundles
Indranil Biswas, Emre Coskun, Ajneet Dhillon
We consider regularly stable parabolic symplectic and orthogonal bundles over an irreducible smooth projective curve over an algebraically closed field of characteristic zero. The…
Automorphisms of moduli spaces of symplectic bundle
Indranil Biswas, Tomas L. Gomez, Vicente Muñoz
Let X be an irreducible smooth complex projective curve of genus at least 3. Fix a line bundle L on X. Let M_{Sp}(L) be the moduli space of symplectic bundles (E, ExE ---> L) on X,…
Einstein-Hermitian connection on twisted Higgs bundles
Indranil Biswas, Tomas L. Gomez, Norbert Hoffmann +1
Let be a smooth projective variety over . We prove that a twisted Higgs vector bundle $(\calE\, ,θ)$ on admits an Einstein--Hermitian connection if and only if $…
Brauer group of a moduli space of parabolic vector bundles over a curve
Indranil Biswas, Arijit Dey
Let be a moduli space of stable parabolic vector bundles of rank and fixed determinant of degree over a compact connected Riemann surf…
Vector bundles trivialized by proper morphisms and the fundamental group scheme, II
Indranil Biswas, Joao Pedro dos Santos
Let be a projective and smooth variety over an algebraically closed field . Let be a proper and surjective morphism of -varieties. Assuming that is…
Principal bundles over finite fields
Indranil Biswas, S. Subramanian
Let M be an irreducible smooth projective variety defined over \bar{{\mathbb F}_p}. Let π(M, x_0) be the fundamental group scheme of M with respect to a base point x_0. Let G be a…
A Torelli theorem for moduli spaces of principal bundles over a curve
Indranil Biswas, Norbert Hoffmann
Let X and X' be compact Riemann surfaces of genus at least 3, and let G and G' be nonabelian reductive complex groups. If one component M_G^d(X) of the moduli space for semistable…
A criterion for homogeneous principal bundles
I. Biswas, G. Trautmann
We consider principal bundles over homogeneous spaces G/P, where P is a parabolic subgroup of a semisimple and simply connected complex linear algebraic group G. We prove that a ho…
Poincaré families of G-bundles on a curve
Indranil Biswas, Norbert Hoffmann
Let G be a reductive group over an algebraically closed field k. Consider the moduli space of stable principal G-bundles on a smooth projective curve C over k. We give necessary an…