AN EXTENSION OF A THEOREM OF WU-YAU

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	AN EXTENSION OF A THEOREM OF WU-YAU
	Tosatti, Valentino 1; Yang, Xiaokui2,3
	2017-11-01
发表期刊	JOURNAL OF DIFFERENTIAL GEOMETRY
ISSN	0022-040X
卷号	107 期号:3 页码:573-579
摘要	We 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.
语种	英语
资助项目	Sloan 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研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000413474500005
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26773
专题	数学所
通讯作者	Tosatti, Valentino
作者单位	1.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
推荐引用方式 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.