10 papers
Positive Cones of Parabolic Grassmann Bundle over a curve
Ashima Bansal, Shivam Vats
In this article, we define the parabolic Grassmann bundle associated to a parabolic vector bundle over a smooth projective variety, generalizing the construction of parabolic proje…
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.…
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 para…
Singularity of cubic hypersurfaces and hyperplane sections of projectivized tangent bundle of projective space
Ashima Bansal, Supravat Sarkar, Shivam Vats
We show that the normal points of a cubic hypersurface in projective space have canonical singularities unless the hypersurface is an iterated cone over an elliptic curve. As an ap…
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 comple…