Symmetries, Quotients and KaehlerEinstein metrics
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 KaehlerEinstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a KaehlerEinstein metric too.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2004
 arXiv:
 arXiv:math/0402316
 Bibcode:
 2004math......2316A
 Keywords:

 Differential Geometry;
 Algebraic Geometry;
 53C55;
 53C25
 EPrint:
 30 pages, Latex