The Structure of Vector Bundles on Non-primary Hopf Manifolds

doi:10.1007/s11401-020-0239-0

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	The Structure of Vector Bundles on Non-primary Hopf Manifolds
	Gan, Ning 1; Zhou, Xiangyu 2
	2020-12-01
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	41 期号:6 页码:929-938
摘要	Let X be a Hopf manifold with non-Abelian fundamental group and E be a holomorphic vector bundle over X, with trivial pull-back to Double-struck capital C-n - {0}. The authors show that there exists a line bundle L over X such that E circle times L has a nowhere vanishing section. It is proved that in case dim(X) >= 3, pi*(E) is trivial if and only if E is filtrable by vector bundles. With the structure theorem, the authors get the cohomology dimension of holomorphic bundle E over X with trivial pull-back and the vanishing of Chern class of E.
关键词	Hopf manifolds Holomorphic vector bundles Exact sequence Cohomology Filtration Chern class
DOI	10.1007/s11401-020-0239-0
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11671330] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11431013]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000589054600005
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52462
专题	中国科学院数学与系统科学研究院
通讯作者	Gan, Ning
作者单位	1.Jimei Univ, Sch Sci, Xiamen 361021, Fujian, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Gan, Ning,Zhou, Xiangyu. The Structure of Vector Bundles on Non-primary Hopf Manifolds[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2020,41(6):929-938.
APA	Gan, Ning,&Zhou, Xiangyu.(2020).The Structure of Vector Bundles on Non-primary Hopf Manifolds.CHINESE ANNALS OF MATHEMATICS SERIES B,41(6),929-938.
MLA	Gan, Ning,et al."The Structure of Vector Bundles on Non-primary Hopf Manifolds".CHINESE ANNALS OF MATHEMATICS SERIES B 41.6(2020):929-938.