Seshadri constants of the anticanonical divisors of Fano manifolds with large index

doi:10.1016/j.jpaa.2020.106438

CSpace

	Seshadri constants of the anticanonical divisors of Fano manifolds with large index
	Liu, Jie
	2020-12-01
发表期刊	JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN	0022-4049
卷号	224 期号:12 页码:17
摘要	Seshadri constants, introduced by Demailly, measure the local positivity of a nef divisor at a point. In this paper, we compute the Seshadri constants of the anticanonical divisors of Fano manifolds with coindex at most 3 at a very general point. As a consequence, if Xis a nonsingular Fano threefold which is very general in its deformation family, then epsilon(X, -K-X; x) <= 1for all points x is an element of X if and only if vertical bar - K-X vertical bar is not base point free. (C) 2020 Elsevier B.V. All rights reserved.
关键词	Seshadri constants Anticanonical divisors Fano manifolds Rational curves Fibration
DOI	10.1016/j.jpaa.2020.106438
收录类别	SCI
语种	英语
资助项目	Institut de Recherche Mathematique de Rennes (IRMAR) ; Laboratoire de Mathematiques J.A. Dieudonne (LJAD) ; China Postdoctoral Science Foundation[2019M650873]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000545485400014
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51739
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Jie
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Jie. Seshadri constants of the anticanonical divisors of Fano manifolds with large index[J]. JOURNAL OF PURE AND APPLIED ALGEBRA,2020,224(12):17.
APA	Liu, Jie.(2020).Seshadri constants of the anticanonical divisors of Fano manifolds with large index.JOURNAL OF PURE AND APPLIED ALGEBRA,224(12),17.
MLA	Liu, Jie."Seshadri constants of the anticanonical divisors of Fano manifolds with large index".JOURNAL OF PURE AND APPLIED ALGEBRA 224.12(2020):17.