Non-commutative Crepant Resolutions

Michel van den Bergh

A chapter in The Legacy of Niels Henrik Abel, 2004, pp 749-770 from Springer

Abstract: 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.

Keywords: Rational Singularity; Coherent Sheave; Ample Line Bundle; Coherent Sheaf; Triangulate Category (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18908-1_26

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DOI: 10.1007/978-3-642-18908-1_26

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