Search Results - "Khan, Bivas"
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G-connections on principal bundles over complete G-varieties
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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Seshadri constants of equivariant vector bundles on toric varieties
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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Seshadri constants on Bott towers
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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Classification, Reduction, and Stability of Toric Principal Bundles
Published in Transformation groups (26-07-2023)Get full text
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Erratum to: "Stability of equivariant vector bundles over toric varieties"
Published in Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. (2021)“…We correct the proof of [the authors, ibid. 25, 1787–1833 (2020; Zbl 1445.14071), Proposition 3.1.1]…”
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Stability of Equivariant Vector Bundles over Toric Varieties
Published in Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. (2020)“…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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7
Equivariant $$\varvec{K}$$-theory of quasitoric manifolds
Published in Proceedings of the Indian Academy of Sciences. Mathematical sciences (01-11-2019)Get full text
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Equivariant K-theory of quasitoric manifolds
Published in Proceedings of the Indian Academy of Sciences. Mathematical sciences (01-11-2019)“…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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Tropical Vector Bundles
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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G$-Connections on principal bundles over complete $G$-varieties
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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11
Logarithmic connections on principal bundles over normal varieties
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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12
Seshadri constants of equivariant vector bundles on toric varieties
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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13
Toric vector bundles on Bott tower
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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14
Stability of equivariant vector bundles over toric varieties
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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15
Classification, reduction and stability of toric principal bundles
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
Seshadri constants on Bott towers
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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17
Equivariant $K$-theory of quasitoric manifolds
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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18
Cohomology of torus manifold bundles
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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