Geodesic
The orbifold Chow ring of toric Deligne-Mumford stacks
Borisov, Lev1 ; Chen, Linda2, 3 ; Smith, Gregory4, 5
1 Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
2 Department of Mathematics, Columbia University, New York, New York 10027
3 Department of Mathematics, The Ohio State University, 231 W 18th Avenue, Columbus, Ohio 43210
4 Department of Mathematics, Barnard College, Columbia University, New York, New York 10027
5 Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario K7L 3N6 Canada
Journal of the American Mathematical Society, Tome 18 (2005) no. 1, pp. 193-215

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/S0894-0347-04-00471-0

Borisov, Lev 1 ; Chen, Linda 2, 3 ; Smith, Gregory 4, 5

1 Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
2 Department of Mathematics, Columbia University, New York, New York 10027
3 Department of Mathematics, The Ohio State University, 231 W 18th Avenue, Columbus, Ohio 43210
4 Department of Mathematics, Barnard College, Columbia University, New York, New York 10027
5 Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario K7L 3N6 Canada 
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Borisov, Lev; Chen, Linda; Smith, Gregory. The orbifold Chow ring of toric Deligne-Mumford stacks. Journal of the American Mathematical Society, Tome 18 (2005) no. 1, pp. 193-215. doi: 10.1090/S0894-0347-04-00471-0

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