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

Autor:	Biswas, Indranil, Hanumanthu, Krishna, Kannan, S. Senthamarai
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry 14C20
Druh dokumentu:	Working Paper
Popis:	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. Comment: 15 pages; final version; to appear in manuscripta mathematica
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.04519 Zobrazit plný text záznamu View this record from Arxiv