Biswas, Indranil ; McKay, Benjamin (2010) Holomorphic Cartan geometries, Calabi-Yau manifolds and rational curves Differential Geometry and its Applications, 28 (1). pp. 102-106. 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.2009.09.003
Abstract
We prove that if a Calabi-Yau manifold M admits a holomorphic Cartan geometry, then M is covered by a complex torus. This is done by establishing the Bogomolov inequality for semistable sheaves on compact Kahler manifolds. We also classify all holomorphic Cartan geometries on rationally connected complex projective manifolds.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Cartan geometry; Holomorphic connection; Calabi-Yau manifold; Rational curve |
| ID Code: | 3491 |
| Deposited On: | 12 Oct 2010 04:29 |
| Last Modified: | 27 Jan 2011 05:55 |
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