Biswas, Indranil (2009) On the stable principal Higgs sheaves Differential Geometry and its Applications, 27 (3). pp. 344-351. ISSN 0926-2245
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S09262...
Related URL: http://dx.doi.org/10.1016/j.difgeo.2009.01.003
Abstract
Let G be a connected reductive linear algebraic group defined over C with Lie algebra g. Let (EG,E ,ψ φ φ) be a stable principal Higgs G-sheaf on a compact connected Kahler manifold. We consider all holomorphic sections of the adjoint vector bundle ad(EG) of EG that commute with the Higgs field φ. These correspond to the infinitesimal automorphisms of the principal Higgs G-sheaf. Any element of the center of g gives such a section. We prove that all the sections are given by the center of g.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Principal Higgs Sheaf; Stability; Infinitesimal Automorphism |
| ID Code: | 3561 |
| Deposited On: | 12 Oct 2010 04:15 |
| Last Modified: | 12 Oct 2010 04:15 |
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