Search Results - "Khan, Bivas"

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  1. 1

    G-connections on principal bundles over complete G-varieties by Khan, Bivas, Poddar, Mainak

    Published in Journal of pure and applied algebra (01-01-2025)
    “…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…”
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    Journal Article
  2. 2

    Seshadri constants of equivariant vector bundles on toric varieties by Dasgupta, Jyoti, Khan, Bivas, Subramaniam, Aditya

    Published in Journal of algebra (01-04-2022)
    “…We compute Seshadri constants of a torus equivariant nef vector bundle on a projective space satisfying certain conditions. As an application, we compute…”
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    Journal Article
  3. 3

    Seshadri constants on Bott towers by Biswas, Indranil, Dasgupta, Jyoti, Hanumanthu, Krishna, Khan, Bivas

    Published in Journal of algebra (01-07-2022)
    “…For a positive integer n, let Xn→Xn−1→…→X2→X1→X0 be a Bott tower of height n, and let L be a nef line bundle on Xn. We compute Seshadri constants ε(Xn,L,x) of…”
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  4. 4
  5. 5

    Erratum to: "Stability of equivariant vector bundles over toric varieties" by Dasgupta, Jyoti, Dey, Arijit, Khan, Bivas

    “…We correct the proof of [the authors, ibid. 25, 1787–1833 (2020; Zbl 1445.14071), Proposition 3.1.1]…”
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  6. 6

    Stability of Equivariant Vector Bundles over Toric Varieties by Dasgupta, Jyoti, Dey, Arijit, Khan, Bivas

    “…We give a complete answer to the question of (semi)stability of tangent bundles on any nonsingular complex projective toric variety with Picard number 2 by…”
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    Journal Article
  7. 7
  8. 8

    Equivariant K-theory of quasitoric manifolds by Dasgupta, Jyoti, Khan, Bivas, Uma, V

    “…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…”
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  9. 9

    Tropical Vector Bundles by Khan, Bivas, Maclagan, Diane

    Published 06-05-2024
    “…The goal of this paper is to introduce a construction of a vector bundle on a tropical variety. When the base is a tropical toric variety these tropicalize…”
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  10. 10

    G$-Connections on principal bundles over complete $G$-varieties by Khan, Bivas, Poddar, Mainak

    Published 31-01-2024
    “…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…”
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    Journal Article
  11. 11

    Logarithmic connections on principal bundles over normal varieties by Dasgupta, Jyoti, Khan, Bivas, Poddar, Mainak

    Published 06-11-2022
    “…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…”
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    Journal Article
  12. 12

    Seshadri constants of equivariant vector bundles on toric varieties by Dasgupta, Jyoti, Khan, Bivas, Subramaniam, Aditya

    Published 10-05-2021
    “…We compute Seshadri constants of a torus equivariant nef vector bundle on a projective space satisfying certain conditions. As an application, we compute…”
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    Journal Article
  13. 13

    Toric vector bundles on Bott tower by Khan, Bivas, Dasgupta, Jyoti

    Published 24-02-2018
    “…In this paper, using Klyachko's classification theorem we study positivity and semi-stability of toric vector bundles on a class of nonsingular projective…”
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    Journal Article
  14. 14

    Stability of equivariant vector bundles over toric varieties by Dasgupta, Jyoti, Dey, Arijit, Khan, Bivas

    Published 30-10-2019
    “…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…”
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    Journal Article
  15. 15

    Classification, reduction and stability of toric principal bundles by Dasgupta, Jyoti, Khan, Bivas, Biswas, Indranil, Dey, Arijit, Poddar, Mainak

    Published 25-12-2020
    “…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…”
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  16. 16

    Seshadri constants on Bott towers by Biswas, Indranil, Dasgupta, Jyoti, Hanumanthu, Krishna, Khan, Bivas

    Published 22-06-2020
    “…For a positive integer $n$, let $X_n \to X_{n-1} \to \ldots \to X_2 \to X_1 \to X_0$ be a Bott tower of height $n$, and let $L$ be a nef line bundle on $X_n$…”
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    Journal Article
  17. 17

    Equivariant $K$-theory of quasitoric manifolds by Dasgupta, Jyoti, Khan, Bivas, Uma, V

    Published 29-05-2018
    “…Let $X(Q,\Lambda)$ be a quasitoric manifold associated to a simple convex polytope $Q$ and characteristic function $\Lambda$. Let $T\cong (\mathbb{S}^1)^n$…”
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    Journal Article
  18. 18

    Cohomology of torus manifold bundles by Dasgupta, Jyoti, Khan, Bivas, Uma, V

    Published 13-04-2018
    “…Mathematica Slovaca, 2018 Let $X$ be a torus manifold with locally standard action of a compact torus $T$ of half the dimension and orbit space a homology…”
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