Seshadri constants of the anticanonical divisors of Fano manifolds with large index
文献类型：期刊论文
| 作者 | Liu, Jie |
| 刊名 | JOURNAL OF PURE AND APPLIED ALGEBRA
 |
| 出版日期 | 2020-12-01 |
| 卷号 | 224期号:12页码:17 |
| 关键词 | Seshadri constants Anticanonical divisors Fano manifolds Rational curves Fibration |
| ISSN号 | 0022-4049 |
| DOI | 10.1016/j.jpaa.2020.106438 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000545485400014 |
| 出版者 | ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51738]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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