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The orbifold Chow ring of toric Deligne-Mumford stacks |
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| Authors: | Lev A. Borisov Linda Chen Gregory G. Smith |
| Affiliation: | Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706 ; Department of Mathematics, Columbia University, New York, New York 10027 ; Department of Mathematics, Barnard College, Columbia University, New York, New York 10027 |
| Abstract: | Generalizing toric varieties, we introduce toric Deligne-Mumford stacks. 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. |
| Keywords: | Deligne-Mumford stack Chow ring toric variety crepant resolution |
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