Symmetries, Quotients and Kaehler-Einstein metrics

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We consider Fano manifolds M that admit a collection of finite automorphism groups G_1, ..., G_k, such that the quotients M/G_i are smooth Fano manifolds possessing a Kaehler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kaehler-Einstein metric too.
30 pages, Latex

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Differential Geometry, Algebraic Geometry, 53C55; 53C25

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http://salesiana.dossiersoluciones.com/handle/123456789/70221

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402316
 http://arxiv.org/abs/math/0402316

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arXiv