8 papers · 1 filter
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…
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…
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,…