Holomorphic vector bundle on Hopf manifolds with Abelian fundamental groups
文献类型：期刊论文
| 作者 | Zhou, XY ; Liu, WM
|
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2004-07-01 |
| 卷号 | 20期号:4页码:605-612 |
| 关键词 | vector bundle section Hopf manifolds |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-004-0376-5 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000223058900003 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19187]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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