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AN EXTENSION OF A THEOREM OF WU-YAU
Tosatti, Valentino1; Yang, Xiaokui2,3
2017-11-01
Source PublicationJOURNAL OF DIFFERENTIAL GEOMETRY
ISSN0022-040X
Volume107Issue:3Pages:573-579
AbstractWe show that a compact Kahler manifold with nonpositive holomorphic sectional curvature has nef canonical bundle. If the holomorphic sectional curvature is negative then it follows that the canonical bundle is ample, confirming a conjecture of Yau. The key ingredient is the recent solution of this conjecture in the projective case by Wu-Yau.
Language英语
Funding ProjectSloan Research Fellowship ; NSF[DMS-1308988] ; China's Recruitment Program of Global Experts ; Hua Loo-Keng Center for Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000413474500005
PublisherINT PRESS BOSTON, INC
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26773
Collection数学所
Affiliation1.Northwestern Univ, Dept Math, 2033 Sheridan Rd, Evanston, IL 60208 USA
2.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, HCMS, CEMS,NCNIS,HLM,UCAS, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Tosatti, Valentino,Yang, Xiaokui. AN EXTENSION OF A THEOREM OF WU-YAU[J]. JOURNAL OF DIFFERENTIAL GEOMETRY,2017,107(3):573-579.
APA Tosatti, Valentino,&Yang, Xiaokui.(2017).AN EXTENSION OF A THEOREM OF WU-YAU.JOURNAL OF DIFFERENTIAL GEOMETRY,107(3),573-579.
MLA Tosatti, Valentino,et al."AN EXTENSION OF A THEOREM OF WU-YAU".JOURNAL OF DIFFERENTIAL GEOMETRY 107.3(2017):573-579.
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