Relative singularity category of a non-commutative resolution of singularities

preprint2012arXivOpen access

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.

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