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| Holomorphic Vector Bundle on Hopf Manifolds with Abelian Fundamental Groups | |
| 引用本文： | Xiang Yu ZHOU Institute of Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,P.R.China and Department of Mathematics,Zhejiang University,Hangzhou 310028,P.R.China Wei Ming LIU Institute of Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,P.R.China. Holomorphic Vector Bundle on Hopf Manifolds with Abelian Fundamental Groups[J]. 应用数学学报(英文版), 2004, 0(4) |
| 作者姓名： | Xiang Yu ZHOU Institute of Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 P.R.China and Department of Mathematics Zhejiang University Hangzhou 310028 P.R.China Wei Ming LIU Institute of Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 P.R.China |
| 作者单位： | Xiang Yu ZHOU Institute of Mathematics，Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Beijing 100080，P.R.China and Department of Mathematics，Zhejiang University，Hangzhou 310028，P.R.China Wei Ming LIU Institute of Mathematics，Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Beijing 100080，P.R.China |
| 基金项目： | The research was supported by 973 Project Foundation of China and the Outstanding Youth Science Grant of NSFC(grant no.19825105) |
| 摘 要： | Let X be a Hopf manifolds with an Abelian fundamental group.E is a holomorphic vectorbundle of rank r with trivial pull-back to W=C~n-{0}.We prove the existence of a non-vanishingsection of L(?)E 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. |
Holomorphic Vector Bundle on Hopf Manifolds with Abelian Fundamental Groups |
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| Xiang Yu ZHOU Institute of Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing ,P.R.China and. Holomorphic Vector Bundle on Hopf Manifolds with Abelian Fundamental Groups[J]. Acta Mathematicae Applicatae Sinica, 2004, 0(4) | |
| Authors: | Xiang Yu ZHOU Institute of Mathematics Academy of Mathematics System Sciences Chinese Academy of Sciences Beijing P.R.China and |
| Affiliation: | Xiang Yu ZHOU Institute of Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,P.R.China and Department of Mathematics,Zhejiang University,Hangzhou 310028,P.R.China Wei Ming LIU Institute of Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,P.R.China |
| Abstract: | 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 LE 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. |
| Keywords: | Vector bundle section Hopf manifolds |
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