|
|||||
|
|
|
|
|
|
|
|
|
Several splitting
criteria for vector bundles and reflexive sheaves
Stephen S.-T. Yau and Fei Ye |
|
Vol. 266 (2013), No. 2, 449–456
|
Abstract |
|
In this paper, we show two splitting criteria for vector bundles on complex projective spaces by analytic method. We also prove a splitting criterion for reflexive sheaves on Horrocks schemes by algebraic method. |
Keywords
holomorphic vector bundles, connection, reflexive sheaves,
Horrocks scheme, splitting Criterion
|
Mathematical Subject Classification 2010
Primary: 14F05, 14J60, 32L10
|
Milestones
Received: 13 October 2012
Accepted: 29 April 2013
Published: 12 November 2013
|
Authors |
| Stephen S.-T. Yau | |
| Department of Mathematical
Sciences Tsinghua University Room A-203, Science Building Beijing, 100084 China |
|
| Fei Ye | |
| Department of Mathematics The University of Hong Kong Pokfulam Hong Kong |
|
|
