The orbifold Chow ring of toric Deligne-Mumford stacks
Algebraic Geometry
2010-03-15 v3
Abstract
Generalizing toric varieties, we introduce toric Deligne-Mumford stacks which correspond to combinatorial data. The main result in this paper is an explicit calculation of the orbifold Chow ring of a toric Deligne-Mumford stack. As an application, we prove that the orbifold Chow ring of the toric Deligne-Mumford stack associated to a simplicial toric variety is a flat deformation of (but is not necessarily isomorphic to) the Chow ring of a crepant resolution.
Cite
@article{arxiv.math/0309229,
title = {The orbifold Chow ring of toric Deligne-Mumford stacks},
author = {Lev A. Borisov and Linda Chen and Gregory G. Smith},
journal= {arXiv preprint arXiv:math/0309229},
year = {2010}
}
Comments
23 pages; revision improves the exposition in several places