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arXiv · 1103.3936

Relative singularity category of a non-commutative resolution of singularities

Igor Burban·Martin Kalck
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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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Igor Burban, Martin Kalck. 2012-05-17. Relative singularity category of a non-commutative resolution of singularities. https://arxiv.org/abs/1103.3936

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