12 papers
Ramification and Finiteness of Equivariant Minimal Surfaces
Indranil Biswas, Satyajit Guin, Pradip Kumar
Let be a closed oriented surface of genus , with , and let be the good locus of representations with T…
On positive cones of finite quotients of a normal variety
Ashima Bansal, Indranil Biswas, Souradeep Majumder
We study positivity properties of finite flat quotients of normal projective varieties. We show that the numerical groups and positive cones of these quotient varieties are related…
Symplectic structure on the character varieties of Sasakian threefolds
Indranil Biswas, Ambar N. Sengupta
Take a compact Sasakian threefold and consider the associated irreducible -character variety ${\mathcal R} := \text{Hom}(π_1(M, x_0), \text{SL}(r, {\m…
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…
Direct image and pullback of Parabolic vector bundles
Indranil Biswas, Chandranandan Gangopadhyay
Niels Borne established a natural correspondence between the parabolic vector bundles on curves and vector bundles on root stacks. The notions of direct image of parabolic vector b…
Holomorphic Jet Modules and Holomorphic Connections for Noncommutative Complex Curves
Indranil Biswas, Satyajit Guin, Pradip Kumar
We extend Atiyah's holomorphic jet bundle formalism to holomorphic vector bundles over noncommutative algebras endowed with a bigraded differential calculus truncated at bidegree $…
Finite-energy equivariant minimal immersions in with fixed-lift proper cusp ends
Indranil Biswas, Pradip Kumar, John Loftin
Let be a finite-type hyperbolic Riemann surface, with its universal cover being identified with . We prove that a finite-ener…
Lie algebroid connection and Harder-Narasimhan reduction
Ashima Bansal, Indranil Biswas, Pradip Kumar
Take a holomorphic Lie algebroid on a compact connected Riemann surface such that the anchor map is not surjective. Let be a parabolic subgroup of a complex…
Pullback and Direct Image of Parabolic Ample and Parabolic Nef Vector Bundles
Ashima Bansal, Indranil Biswas
We prove that under a finite surjective map of irreducible smooth complex projective curves, the pullback and direct image of a parabolic ample (respectively, parabolic nef) vector…
Semiample vector bundles and a characterization of étale trivial vector bundles
Indranil Biswas, D. S. Nagaraj
We prove that a vector bundle over a smooth complex projective variety is étale trivial if and only if is semiample and vanishes. Also,…
Positive Cones of the Projectivization of a parabolic vector bundle and Their Products over a Curve
Ashima Bansal, Indranil Biswas, Souradeep Majumder
We compute the positive cones of the projectivization of a parabolic vector bundle and the fiber product of two parabolic projective bundles over a smooth complex projective curve.…
Blow-up of a generalized flag variety
Indranil Biswas, Pinakinath Saha
Let be a connected simply connected semisimple complex algebraic group and a parabolic subgroup. We give a necessary and sufficient condition for a line bundl…