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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie

IMPACT FACTOR 2018: 1.859

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SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2018: 1.55

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Volume 2013, Issue 683


On the noncommutative Bondal–Orlov conjecture

Osamu Iyama / Michael Wemyss
  • The Maxwell Institute, School of Mathematics, James Clerk Maxwell Building, The King's Buildings, Mayfield Road, Edinburgh, EH9 3JZ, UK
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Published Online: 2012-03-01 | DOI: https://doi.org/10.1515/crelle-2012-0001


Let R be a normal, equi-codimensional Cohen–Macaulay ring of dimension with a canonical module . We give a sufficient criterion that establishes a derived equivalence between the noncommutative crepant resolutions of R. When , this criterion is always satisfied and so all noncommutative crepant resolutions of R are derived equivalent. Our method is based on cluster tilting theory for commutative algebras, developed by Iyama and Wemyss (2010).

About the article

Received: 2011-02-23

Revised: 2011-12-16

Published Online: 2012-03-01

Published in Print: 2013-10-01

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2013, Issue 683, Pages 119–128, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/crelle-2012-0001.

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