Symmetries, Quotients and Kaehler-Einstein metrics

Details Symmetries, Quotients and Kaehler-Einstein metrics Symmetries, Quotients and Kaehler-Einstein metrics

2004-02-19

arxiv.org/abs/math/0402316v2

Mathematics

Differential Geometry

30 pages, Latex

Scientific paper

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.

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