| On projective varieties with strictly nef tangent bundles | |
Li, Duo1; Ou, Wenhao2; Yang, Xiaokui1,3,4
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| 2019-08-01 | |
| Source Publication | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
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| ISSN | 0021-7824 |
| Volume | 128Pages:140-151 |
| Abstract | In this paper, we study smooth complex projective varieties X such that some exterior power Lambda(r) T-X of the tangent bundle is strictly nef. We prove that such varieties are rationally connected. We also classify the following two cases. If T-X is strictly nef, then X isomorphic to the projective space P-n. If Lambda(2) T-X is strictly nef and if X has dimension at least 3, then X is either isomorphic to P-n or a quadric Q(n). (C) 2019 Published by Elsevier Masson SAS. |
| Keyword | Positivity of tangent bundles Rational connectedness Campana-Peternell conjecture |
| DOI | 10.1016/j.matpur.2019.04.007 |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000480511900005 |
| Publisher | ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35396 |
| Collection | 数学所 |
| Corresponding Author | Ou, Wenhao |
| Affiliation | 1.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China 2.UCLA, Math Dept, 520 Portola Plaza, Los Angeles, CA 90095 USA 3.Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Inst Math,HCMS,CEMS,NCNIS,HLM,UCAS, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Li, Duo,Ou, Wenhao,Yang, Xiaokui. On projective varieties with strictly nef tangent bundles[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2019,128:140-151. |
| APA | Li, Duo,Ou, Wenhao,&Yang, Xiaokui.(2019).On projective varieties with strictly nef tangent bundles.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,128,140-151. |
| MLA | Li, Duo,et al."On projective varieties with strictly nef tangent bundles".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 128(2019):140-151. |
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