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The relative singularity category of a non-commutative resolution of singularities

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Original languageEnglish
Pages (from-to)414-435
Number of pages22
JournalAdvances in Mathematics
Volume231
Issue number1
DOIs
Publication statusPublished - 10 Sep 2012

Abstract

In this article, we study a triangulated category 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. (C) 2012 Elsevier Inc. All rights reserved.

    Research areas

  • Triangulated category, Non-commutative resolution, K-theory, Auslander-Reiten quiver, TRIANGULATED CATEGORIES, ALGEBRAS, GORENSTEIN

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