Biswas, Indranil ; Gomez, Tomas L. (2008) Simplicity of stable principal sheaves Bulletin of the London Mathematical Society, 40 (1). pp. 163-171. ISSN 0024-6093
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Official URL: http://blms.oxfordjournals.org/cgi/content/abstrac...
Related URL: http://dx.doi.org/10.1112/blms/bdm116
Abstract
Let M be a compact connected Kahler manifold, and let G be a connected complex reductive linear algebraic group. We prove that a principal G-sheaf on M admits an admissible Einstein-Hermitian connection if and only if the principal G-sheaf is polystable. Using this it is shown that the holomorphic sections of the adjoint vector bundle of a stable principal G-sheaf on M are given by the center of the Lie algebra of G. The Bogomolov inequality is shown to be valid for polystable principal G-sheaves.
Item Type: | Article |
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Source: | Copyright of this article belongs to Oxford University Press. |
ID Code: | 3466 |
Deposited On: | 12 Oct 2010 04:36 |
Last Modified: | 16 May 2016 14:16 |
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