Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kahler manifolds

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	Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kahler manifolds
	Li, JY
	2000-07-01
发表期刊	COMMUNICATIONS IN ANALYSIS AND GEOMETRY
ISSN	1019-8385
卷号	8 期号:3 页码:445-475
摘要	Let (X) over bar be a compact complex manifold with a smooth Kahler metric and D = Sigma(i=1)(m) D-i a divisor in (X) over bar with normal crossings. Let E be a holomorphic vector bundle over (X) over bar with a stable parabolic structure along D. We prove that there exists a Hermitian-Einstein metric on E' = E \(<(X)over bar\D) and obtain a Chern number inequality for a stable parabolic bundle. Without the assumption that the irreducible components D-i of D meet transversely, using Hironaka's theorem on the resolution of singularities, we also get a Chern number inequality for a more general stable parabolic bundle.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000088907900001
出版者	INT PRESS CO LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15268
专题	中国科学院数学与系统科学研究院
通讯作者	Li, JY
作者单位	Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, JY. Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kahler manifolds[J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY,2000,8(3):445-475.
APA	Li, JY.(2000).Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kahler manifolds.COMMUNICATIONS IN ANALYSIS AND GEOMETRY,8(3),445-475.
MLA	Li, JY."Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kahler manifolds".COMMUNICATIONS IN ANALYSIS AND GEOMETRY 8.3(2000):445-475.