126 citations · 697 across the 321 of their papers we have counts for
13 papers · 2 filters
Quantization of some moduli spaces of parabolic vector bundles on CP^1
Indranil Biswas, Carlos Florentino, José Mourão +1
We address quantization of the natural symplectic structure on a moduli space of parabolic vector bundles of parabolic degree zero over with four parabolic points a…
Rationality and Brauer group of a moduli space of framed bundles
I. Biswas, T. Gómez, V. Muñoz
We prove that the moduli spaces of framed bundles over a smooth projective curve are rational. We compute the Brauer group of these moduli spaces to be zero under some assumption o…
The Brauer group of desingularization of moduli spaces of vector bundles over a curve
Indranil Biswas, Amit Hogadi, Yogish I. Holla
Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M_C(r…
Poincare sheaves on the moduli spaces of torsionfree sheaves over an irreducible curve
Usha N. Bhosle, Indranil Biswas
Let be a geometrically irreducible reduced projective curve defined over real numbers. Let (respectively, ) be the moduli space of geometrically stable torsionfree…
Principal bundles over a real algebraic curve
Indranil Biswas, Jacques Hurtubise
Let X be a compact connected Riemann surface equipped with an anti-holomorphic involution σ. Let G be a connected complex reductive affine algebraic group, and let σ_G be a real fo…
Deligne pairing and determinant bundle
Indranil Biswas, Georg Schumacher, Lin Weng
Let be a smooth projective surjective morphism, where and are integral schemes over complex numbers. Let L_0, L_1, .... L_{n-1}, L_{n} be line bundles ove…
On Kaehler structures over symmetric products of a Riemann surface
Indranil Biswas
Given a positive integer and a compact connected Riemann surface , we prove that the symmetric product admits a Kaehler form of nonnegative holomorphic bisectional…
Orthogonal and Symplectic Parabolic Bundles
Indranil Biswas, Souradeep Majumder, Michael Lennox Wong
We investigate orthogonal and symplectic bundles with parabolic structure, over a curve.
Rank one connections on abelian varieties
Indranil Biswas, Jacques Hurtubise, A. K. Raina
Let A be a complex abelian variety. The moduli space of rank one algebraic connections on is a principal bundle over the dual abelian variety $A^\vee=\text{Pic…
Parabolic k-ample bundles
Indranil Biswas, Fatima Laytimi
We construct projectivization of a parabolic vector bundle and a tautological line bundle over it. It is shown that a parabolic vector bundle is ample if and only if the tautologic…
Hecke transformation for orthogonal bundles and stability of Picard bundles
Indranil Biswas, Tomas L. Gomez
We define Hecke transformation for orthogonal bundles over a compact Riemann surface. Using the cycles on a moduli space of orthogonal bundles given by Hecke transformations, we pr…
Semistability criterion for parabolic vector bundles on curves
Indranil Biswas, Ajneet Dhillon
We give a cohomological criterion for a parabolic vector bundle on a curve to be semistable. It says that a parabolic vector bundle with rational parabolic weights is semistabl…
On a question of Sean Keel
Indranil Biswas, S. Subramanian
We answer a question of Sean Keel in the affirmative in the case of ruled surfaces