Relative singularity category of a non-commutative resolution of singularities

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.

exposition is slightly extended, some new references added

References in corpus (1)

• Relative singularity categories I: Auslander resolutions

Cited by in corpus (3)

• Singular Derived Categories of Q-factorial terminalizations and Maximal Modification Algebras
• Fourier-Mukai partners of singular genus one curves
• Derived equivalences and Kodaira fibers