Bivas Khan

activity

20182024

K

-theory of quasitoric manifolds

4 citations · 5 across the 8 of their papers we have counts for

collaborators

9 papers

math.AG2024

$G$ -Connections on principal bundles over complete $G$ -varieties

Bivas Khan, Mainak Poddar

Let $X$ be a complete variety over an algebraically closed field $k$ of characteristic zero, equipped with an action of an algebraic group $G$ . Let $H$ be a reductive group. We stu…

math.AG2022

Logarithmic connections on principal bundles over normal varieties

Jyoti Dasgupta, Bivas Khan, Mainak Poddar

Let $X$ be a normal projective variety over an algebraically closed field of characteristic zero. Let $D$ be a reduced Weil divisor on $X$ . Let $G$ be a reductive linear algebraic…

math.AG2021

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…

math.AG2020

Classification, reduction and stability of toric principal bundles

Jyoti Dasgupta, Bivas Khan, Indranil Biswas +2

Let $X$ be a complex toric variety equipped with the action of an algebraic torus $T$ , and let $G$ be a complex linear algebraic group. We classify all $T$ -equivariant principal $G…

math.AG2020

Seshadri constants on Bott towers

Indranil Biswas, Jyoti Dasgupta, Krishna Hanumanthu +1

For a positive integer $n$ , let $X_{n} \to X_{n - 1} \to \dots \to X_{2} \to X_{1} \to X_{0}$ be a Bott tower of height $n$ , and let $L$ be a nef line bundle on $X_{n}$ . We compute Seshadri c…

math.AG2019

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…

math.AT2018★ 4 cited

Equivariant $K$ -theory of quasitoric manifolds

Jyoti Dasgupta, Bivas Khan, V. Uma

Let $X (Q, Λ)$ be a quasitoric manifold associated to a simple convex polytope $Q$ and characteristic function $Λ$ . Let $T ≅ (S^{1})^{n}$ denote the compact $n$ -torus acting…

math.KT2018★ 1 cited

Cohomology of torus manifold bundles

Jyoti Dasgupta, Bivas Khan, V. Uma

Let $X$ be a torus manifold with locally standard action of a compact torus $T$ of half the dimension and orbit space a homology polytope. Smooth complete complex toric varieties a…

math.AG2018

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…

G-Connections on principal bundles over complete G-varieties