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 Kahler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kahler-Einstein metric too
Arezzo, C., Ghigi, A. (2005). Symmetries and Kahler-Einstein metrics. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. A, 8(3), 605-613.
Symmetries and Kahler-Einstein metrics
Ghigi, AC
2005
Abstract
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 Kahler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kahler-Einstein metric tooFile in questo prodotto:
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