Iyama, O. and Wemyss, M. (2013) On the noncommutative Bondal–Orlov conjecture. Journal für die reine und angewandte Mathematik (Crelles Journal), 683, pp. 119-128. (doi: 10.1515/crelle-2012-0001)
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Abstract
Let R be a normal, equi-codimensional Cohen–Macaulay ring of dimension d ≥ 2 with a canonical module ωR. We give a sufficient criterion that establishes a derived equivalence between the noncommutative crepant resolutions of R. When d ≤ 3, 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).
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Wemyss, Professor Michael |
| Authors: | Iyama, O., and Wemyss, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal für die reine und angewandte Mathematik (Crelles Journal) |
| Publisher: | De Gruyter |
| ISSN: | 0075-4102 |
| ISSN (Online): | 0075-4102 |
| Published Online: | 01 March 2012 |
| Copyright Holders: | Copyright © 2013 De Gruyter |
| First Published: | First published in Journal für die reine und angewandte Mathematik (Crelles Journal) 683:119-128 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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