The Orbifold Chow Ring of Hypertoric Deligne-Mumford Stacks

Details The Orbifold Chow Ring of Hypertoric Deligne-Mumford Stacks The Orbifold Chow Ring of Hypertoric Deligne-Mumford Stacks

2005-12-09

arxiv.org/abs/math/0512199v5

Journal fuer die reine und angewandte Mathematik (Crelle's Journal), Volume 2008, Issue 619, Pages 175--202

Mathematics

Algebraic Geometry

The proof of closed stack and open substack is revised

Scientific paper

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.

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