Document Type

Article

Date

8-19-2011

Embargo Period

11-15-2011

Disciplines

Mathematics

Description/Abstract

Non-commutative crepant resolutions are algebraic objects defined by Van den Bergh to realize an equivalence of derived categories in birational geometry. They are motivated by tilting theory, the McKay correspondence, and the minimal model program, and have applications to string theory and representation theory. In this expository article I situate Van den Bergh's definition within these contexts and describe some of the current research in the area.

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/1103.5380

Source

Harvested from arXiv.org

Creative Commons License


This work is licensed under a Creative Commons Attribution 3.0 License.

Included in

Mathematics Commons

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