Relative singularity category of a non-commutative resolution of singularities
Algebraic Geometry
2012-05-18 v3 Representation Theory
Abstract
In this article we study the triangulated category of singularities associated with a non-commutative resolution of singularities. In particular, we give a complete description of this category in the case of a curve with nodal singularities, classifying its indecomposable objects and computing its Auslander-Reiten quiver and K-group.
Keywords
Cite
@article{arxiv.1103.3936,
title = {Relative singularity category of a non-commutative resolution of singularities},
author = {Igor Burban and Martin Kalck},
journal= {arXiv preprint arXiv:1103.3936},
year = {2012}
}
Comments
exposition is slightly extended, some new references added