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

Abstract

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.

26 pages

References in corpus (3)

• A New Cohomology Theory for Orbifold
• Integral Chow rings of toric stacks
• A note on toric Deligne-Mumford stacks