The Structure of Vector Bundles on Non-primary Hopf Manifolds | |
Gan, Ning2; Zhou, Xiangyu1 | |
刊名 | CHINESE ANNALS OF MATHEMATICS SERIES B |
2020-12-01 | |
卷号 | 41期号:6页码:929-938 |
关键词 | Hopf manifolds Holomorphic vector bundles Exact sequence Cohomology Filtration Chern class |
ISSN号 | 0252-9599 |
DOI | 10.1007/s11401-020-0239-0 |
英文摘要 | 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. |
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 |
语种 | 英语 |
出版者 | SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE |
WOS记录号 | WOS:000589054600005 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52461] |
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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Jimei Univ, Sch Sci, Xiamen 361021, Fujian, 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. |
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