Lower bounds for Seshadri constants via successive minima of line bundles

Autor:	Ballaÿ, François
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry 14C20
Druh dokumentu:	Working Paper
Popis:	Given a nef and big line bundle $L$ on a projective variety $X$ of dimension $d \geq 2$, we prove that the Seshadri constant of $L$ at a very general point is larger than $(d+1)^{\frac{1}{d}-1}$. This slightly improves the lower bound $1/d$ established by Ein, K\"uchle and Lazarsfeld. The proof relies on the concept of successive minima for line bundles recently introduced by Ambro and Ito. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.07149 Zobrazit plný text záznamu View this record from Arxiv