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Non-commutative crepant resolutions

Michel Van den Bergh
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Abstract

We introduce the notion of a ``non-commutative crepant'' resolution of a singularity and show that it exists in certain cases. We also give some evidence for an extension of a conjecture by Bondal and Orlov, stating that different crepant resolutions of a Gorenstein singularity have the same derived category.

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Michel Van den Bergh. 2009-06-09. Non-commutative crepant resolutions. https://arxiv.org/abs/math/0211064

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