The Integral (orbifold) Chow Ring of Toric Deligne-Mumford Stacks

Details The Integral (orbifold) Chow Ring of Toric Deligne-Mumford Stacks The Integral (orbifold) Chow Ring of Toric Deligne-Mumford Stacks

2007-07-19

arxiv.org/abs/0707.2972v1

Mathematische Zeitschrift, Volume 264, Number 1 (2010), 225--248

Mathematics

Algebraic Geometry

26 pages

Scientific paper

In this paper we study the integral Chow ring of toric Deligne-Mumford
stacks. We prove that the integral Chow ring of a semi-projective toric
Deligne-Mumford stack is isomorphic to the Stanley-Reisner ring of the
associated stacky fan. The integral orbifold Chow ring is also computed. Our
results are illustrated with several examples.

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