4 papers · 1 filter
-Connections on principal bundles over complete -varieties
Bivas Khan, Mainak Poddar
Let be a complete variety over an algebraically closed field of characteristic zero, equipped with an action of an algebraic group . Let be a reductive group. We stu…
Seshadri constants of equivariant vector bundles on toric varieties
Jyoti Dasgupta, Bivas Khan, Aditya Subramaniam
We compute Seshadri constants of a torus equivariant nef vector bundle on a projective space satisfying certain conditions. As an application, we compute Seshadri constants of tang…
Stability of equivariant vector bundles over toric varieties
Jyoti Dasgupta, Arijit Dey, Bivas Khan
We give a complete answer to the question of (semi)stability of tangent bundle of any nonsingular projective complex toric variety with Picard number 2 by using combinatorial criet…
Toric vector bundles on Bott tower
Bivas Khan, Jyoti Dasgupta
In this paper, using Klyachko's classification theorem we study positivity and semi-stability of toric vector bundles on a class of nonsingular projective toric varieties, known as…