CSpace  > 数学所
On projective varieties with strictly nef tangent bundles
Li, Duo1; Ou, Wenhao2; Yang, Xiaokui1,3,4
2019-08-01
Source PublicationJOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN0021-7824
Volume128Pages:140-151
AbstractIn 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.
KeywordPositivity of tangent bundles Rational connectedness Campana-Peternell conjecture
DOI10.1016/j.matpur.2019.04.007
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000480511900005
PublisherELSEVIER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35396
Collection数学所
Corresponding AuthorOu, Wenhao
Affiliation1.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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Li, Duo]'s Articles
[Ou, Wenhao]'s Articles
[Yang, Xiaokui]'s Articles
Baidu academic
Similar articles in Baidu academic
[Li, Duo]'s Articles
[Ou, Wenhao]'s Articles
[Yang, Xiaokui]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Li, Duo]'s Articles
[Ou, Wenhao]'s Articles
[Yang, Xiaokui]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.