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Mathematics > Algebraic Geometry

arXiv:2201.04519 (math)
[Submitted on 12 Jan 2022 (v1), last revised 22 Mar 2023 (this version, v2)]

Title:On the Seshadri constants of equivariant bundles over Bott-Samelson varieties and wonderful compactifications

Authors:Indranil Biswas, Krishna Hanumanthu, S. Senthamarai Kannan
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Abstract:We study torus-equivariant vector bundles $E$ on a complex projective variety $X$ which is either a Bott-Samelson-Demazure-Hansen variety or a wonderful compactification of a complex symmetric variety of minimal rank. We show that $E$ is nef (respectively, ample) if and only if its restriction to every torus--invariant curve in $X$ is nef (respectively, ample). We also compute the Seshadri constants $\varepsilon(E,x)$, where $x\, \in\, X$ is any point fixed by the action of a maximal torus.
Comments: 15 pages; final version; to appear in manuscripta mathematica
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14C20
Cite as: arXiv:2201.04519 [math.AG]
  (or arXiv:2201.04519v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2201.04519

Submission history

From: Krishna Hanumanthu [view email]
[v1] Wed, 12 Jan 2022 15:32:58 UTC (13 KB)
[v2] Wed, 22 Mar 2023 06:35:25 UTC (14 KB)
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