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| Vector Bundles on Certain Non-algebraic Surfaces | |
| 引用本文： | 赵玲,周向宇,李庆忠. Vector Bundles on Certain Non-algebraic Surfaces[J]. 数学进展, 2003, 32(2) |
| 作者姓名： | 赵玲 周向宇 李庆忠 |
| 作者单位： | Department of Mathematics，Capital Normal University，Beijing，100037，P.R.China，Department of Mathematics，Capital Normal University，Beijing，100037，P.R.China，1.Department of Mathematics，Capital Normal University，Beijing，100037，P.R.China，2.Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Beijing，100080，P.R.China |
| 基金项目： | Foundation item:Supported by NSFC(No.10071051)，NSF of Beijing(No.1002004)，Outslsanding Youth Foundation of NNSFC(Grant No.19825102) |
| 摘 要： | It is well-known that every holomorphic vector bundle is filtrable on a projective algebraic |
Vector Bundles on Certain Non-algebraic Surfaces |
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| Abstract: | It is well-known that every holomorphic vector bundle is filtrable on a projective algebraicmanifold, and any complex vector bundle E of rank 2 on a projective algebraic surface admits aholomorphic structure iff c1 (E) = c1 (L) for some holomorphic line bundle L. And this is not truefor the non-algebraic case. |
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