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 Kahler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kahler-Einstein metric too
Symmetries, quotients and Kähler-Einstein metrics / Arezzo, Claudio; Ghigi, A.; Pirola, G. P.. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 0075-4102. - 591:(2006), pp. 177-200. [10.1515/CRELLE.2006.018]
Symmetries, quotients and Kähler-Einstein metrics
AREZZO, Claudio;
2006-01-01
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 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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