Symmetries, Quotients and Kaehler-Einstein metrics
Differential Geometry
2007-05-23 v2 Algebraic Geometry
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 Kaehler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kaehler-Einstein metric too.
Cite
@article{arxiv.math/0402316,
title = {Symmetries, Quotients and Kaehler-Einstein metrics},
author = {C. Arezzo and A. Ghigi and G. P. Pirola},
journal= {arXiv preprint arXiv:math/0402316},
year = {2007}
}
Comments
30 pages, Latex