Tilting theoretical approach to Kleinian singularities.

link: http://arxiv.org/abs/1008.4451
Abstract

It is known that the minimal resolution of a Kleinian singularity is realized
as a moduli spaces of $/theta$-stable McKay quiver representations. Those
representations are regarded as modules over a preprojective algebra. We study
such modules by using representation theory of preprojective algebras.