Singularity category of a non-commutative resolution of singularities

Details Singularity category of a non-commutative resolution of singularities Singularity category of a non-commutative resolution of singularities

2011-03-21

arxiv.org/abs/1103.3936v2

Mathematics

Algebraic Geometry

minor changes, some misprints corrected

Scientific paper

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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