Burban, Igor and Kalck, Martin (2012). The relative singularity category of a non-commutative resolution of singularities. Adv. Math., 231 (1). S. 414 - 436. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 0001-8708

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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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Burban, IgorUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kalck, MartinUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-483145
DOI: 10.1016/j.aim.2012.05.012
Journal or Publication Title: Adv. Math.
Volume: 231
Number: 1
Page Range: S. 414 - 436
Date: 2012
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication: SAN DIEGO
ISSN: 0001-8708
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
TRIANGULATED CATEGORIES; ALGEBRAS; GORENSTEINMultiple languages
MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/48314

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