Kahler-Einstein metrics on symmetric Fano T-varieties
Algebraic Geometry
2013-08-13 v2 Differential Geometry
Abstract
We relate the global log canonical threshold of a variety with torus action to the global log canonical threshold of its quotient. We apply this to certain Fano varieties and use Tian's criterion to prove the existence of Kahler-Einstein metrics on them. In particular, we obtain simple examples of Fano threefolds being Kahler-Einstein but admitting deformations without Kahler-Einstein metric.
Keywords
Cite
@article{arxiv.1208.3597,
title = {Kahler-Einstein metrics on symmetric Fano T-varieties},
author = {Hendrik Süß},
journal= {arXiv preprint arXiv:1208.3597},
year = {2013}
}
Comments
12 pages, main theorem slightly improved + minor corrections