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Publication Date:
May 2006
ISSN:
1435-5345
DOI:
10.1515/CRELLE.2006.018

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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

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Symmetries, quotients and Kähler-Einstein metrics

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Citation Information: Journal fur die reine und angewandte Mathematik (Crelles Journal). Volume 2006, Issue 591, Pages 177–200, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2006.018, May 2006

Publication History:
Received:
2003-12-05
Accepted:
2005-01-22
Published Online:
2006-05-08

Abstract

We consider Fano manifolds M that admit a collection of finite automorphism groups G 1, …, Gk, such that the quotients M/Gi are smooth Fano manifolds possessing a Kähler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kähler-Einstein metric too.

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