Holomorphic vector bundle on Hopf manifolds with Abelian fundamental groups

doi:10.1007/s10114-004-0376-5

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	Holomorphic vector bundle on Hopf manifolds with Abelian fundamental groups
	Zhou, XY; Liu, WM
	2004-07-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	20 期号:4 页码:605-612
摘要	Let X be a Hopf manifolds with an Abelian fundamental group. E is a holomorphic vector bundle of rank r with trivial pull-back to W = C-n-{0}. We prove the existence of a non-vanishing section of Lcircle timesE for some line bundle on X and study the vector bundles filtration structure of E. These generalize the results of D. Mall about structure theorem of such a vector bundle E.
关键词	vector bundle section Hopf manifolds
DOI	10.1007/s10114-004-0376-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000223058900003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19188
专题	数学所
通讯作者	Zhou, XY
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China 2.Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China
推荐引用方式 GB/T 7714	Zhou, XY,Liu, WM. Holomorphic vector bundle on Hopf manifolds with Abelian fundamental groups[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(4):605-612.
APA	Zhou, XY,&Liu, WM.(2004).Holomorphic vector bundle on Hopf manifolds with Abelian fundamental groups.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(4),605-612.
MLA	Zhou, XY,et al."Holomorphic vector bundle on Hopf manifolds with Abelian fundamental groups".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.4(2004):605-612.