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Symmetries, quotients and Kähler-Einstein metrics
-
Claudio Arezzo
,
Alessandro Ghigi
Published/Copyright:
May 8, 2006
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 Kähler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kähler-Einstein metric too.
Received: 2003-12-05
Accepted: 2005-01-22
Published Online: 2006-05-08
Published in Print: 2006-02-24
© Walter de Gruyter
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Articles in the same Issue
- Three-dimensional exponential sums with monomials
- A Fourier transformation for Higgs bundles
- Pucci's conjecture and the Alexandrov inequality for elliptic PDEs in the plane
- Kähler quantization and reduction
- Traces of Hecke operators acting on three-dimensional hyperbolic space
- Teitelbaum's exceptional zero conjecture in the function field case
- Symmetries, quotients and Kähler-Einstein metrics
- Smoothing of ribbons over curves
