Hermitian manifolds with semi-positive holomorphic sectional curvature

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	Hermitian manifolds with semi-positive holomorphic sectional curvature
	Yang, Xiaokui1,2,3
	2016
发表期刊	MATHEMATICAL RESEARCH LETTERS
ISSN	1073-2780
卷号	23 期号:3 页码:939-952
摘要	We prove that a compact Hermitian manifold with semi-positive but not identically zero holomorphic sectional curvature has Kodaira dimension - infinity. As applications, we show that Kodaira surfaces and hyperelliptic surfaces can not admit Hermitian metrics with semi-positive holomorphic sectional curvature although they have nef tangent bundles.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000388457200017
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/24156
专题	数学所
通讯作者	Yang, Xiaokui
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Xiaokui. Hermitian manifolds with semi-positive holomorphic sectional curvature[J]. MATHEMATICAL RESEARCH LETTERS,2016,23(3):939-952.
APA	Yang, Xiaokui.(2016).Hermitian manifolds with semi-positive holomorphic sectional curvature.MATHEMATICAL RESEARCH LETTERS,23(3),939-952.
MLA	Yang, Xiaokui."Hermitian manifolds with semi-positive holomorphic sectional curvature".MATHEMATICAL RESEARCH LETTERS 23.3(2016):939-952.