Triangulated categories of Gorenstein cyclic quotient singularities
Algebraic Geometry
2009-12-24 v2
Abstract
We prove an equivalence of triangulated categories between Orlov's triangulated category of singularities for a Gorenstein cyclic quotient singularity and the derived category of representations of a quiver with relations which is obtained from the McKay quiver by removing one vertex and half of the arrows.
Keywords
Cite
@article{arxiv.0710.1911,
title = {Triangulated categories of Gorenstein cyclic quotient singularities},
author = {Kazushi Ueda},
journal= {arXiv preprint arXiv:0710.1911},
year = {2009}
}
Comments
3 pages, no figures; v2: removed an error pointed out by Kentaro Nagao