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The orbifold Chow ring of hypertoric Deligne-Mumford stacks

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Published/Copyright: July 1, 2008
Journal für die reine und angewandte Mathematik
From the journal Volume 2008 Issue 619

Abstract

Hypertoric varieties are determined by hyperplane arrangements. In this paper, we use stacky hyperplane arrangements to define the notion of hypertoric Deligne-Mumford stacks. Their orbifold Chow rings are computed. As an application, some examples related to crepant resolutions are discussed.

Received: 2006-11-15
Revised: 2007-03-19
Published Online: 2008-07-01
Published in Print: 2008-June

© Walter de Gruyter Berlin · New York 2008

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