On projective varieties with strictly nef tangent bundles

doi:10.1016/j.matpur.2019.04.007

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	On projective varieties with strictly nef tangent bundles
	Li, Duo 1; Ou, Wenhao 2; Yang, Xiaokui1,3,4
	2019-08-01
发表期刊	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN	0021-7824
卷号	128 页码:140-151
摘要	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.
关键词	Positivity of tangent bundles Rational connectedness Campana-Peternell conjecture
DOI	10.1016/j.matpur.2019.04.007
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000480511900005
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/35396
专题	数学所
通讯作者	Ou, Wenhao
作者单位	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
推荐引用方式 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.