Autor:	Biswas, Indranil, Hanumanthu, Krishna, Misra, Snehajit, Ray, Nabanita
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry 14C20 14J60
Druh dokumentu:	Working Paper
Popis:	Let $X$ be a complex projective variety, and let $E_{\ast}$ be a parabolic vector bundle on $X$. We introduce the notion of \textit{parabolic Seshadri constants} of $E_{\ast}$. It is shown that these constants are analogous to the classical Seshadri constants of vector bundles, in particular, they have parallel definitions and properties. We prove a Seshadri criterion for parabolic ampleness of $E_{\ast}$ in terms of parabolic Seshadri constants. We also compute parabolic Seshadri constants for symmetric powers and tensor products of parabolic vector bundles. Comment: 25 pages; final version; to appear in Documenta Mathematica
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.04533 Zobrazit plný text záznamu View this record from Arxiv