The derived category of a GIT quotient

The derived category of a GIT quotient

This perspective generalizes and provides new insight into examples of derived equivalences between birational varieties. We provide a criterion under which two different GIT quotients are derived equivalent, and apply it to prove that any two generic GIT quotients of an equivariantly Calabi-Yau pro...

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Bibliographic Details
Published in:Journal of the American Mathematical Society Vol. 28; no. 3; pp. 871 - 912
Main Author: Daniel Halpern-Leistner
Format: Journal Article
Language:English
Published: American Mathematical Society 01-07-2015
Online Access:Get full text
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Summary:This perspective generalizes and provides new insight into examples of derived equivalences between birational varieties. We provide a criterion under which two different GIT quotients are derived equivalent, and apply it to prove that any two generic GIT quotients of an equivariantly Calabi-Yau projective-over-affine manifold by a torus are derived equivalent.
ISSN:0894-0347
1088-6834
DOI:10.1090/S0894-0347-2014-00815-8