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The orbifold Chow ring of hypertoric Deligne-Mumford stacks
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July 1, 2008
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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Articles in the same Issue
- Automorphisms of free groups have asymptotically periodic dynamics
- Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties
- Castelnuovo theory via Gröbner bases
- Additive higher Chow groups of schemes
- Seminormal forms and Gram determinants for cellular algebras
- The orbifold Chow ring of hypertoric Deligne-Mumford stacks
- An intrinsic measure for submanifolds in stratified groups
- Addendum to the paper: The Chow rings of G2 and Spin(7)