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

Igor Burban*, Martin Kalck

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

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

Keywords

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

Fingerprint

Dive into the research topics of 'The relative singularity category of a non-commutative resolution of singularities'. Together they form a unique fingerprint.

Cite this