Symmetries, Quotients and Kaehler-Einstein metrics
Abstract
We consider Fano manifolds M that admit a collection of finite automorphism groups G1, ..., Gk, such that the quotients M/Gi 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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