Geometry & Topology 15 (2011) 1843–1882

DOI: 10.2140/gt.2011.15.1843

Abstract

We study exceptional quotient singularities. In particular, we prove an exceptionality criterion in terms of the α–invariant of Tian, and utilize it to classify four-dimensional and five-dimensional exceptional quotient singularities.

Keywords

quotient singularities, log canonical threshold, alpha invariant, Fano, group, Kähler–Einstein metric

Mathematical Subject Classification

References

Publication

Received: 28 October 2009
Revised: 20 June 2011
Accepted: 7 September 2011
Published: 14 October 2011
Proposed: Gang Tian
Seconded: Simon Donaldson, Richard Thomas

Authors