Non-commutative crepant resolutions

Mathematics – Rings and Algebras

Scientific paper

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The main reason for this new version is that the argument for the existence of non-commutative crepant resolutions for cones o

Scientific paper

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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