The Integral Chow Ring of Smooth Non-strict Toric Stacks

Abstract

We extend the Stanley-Reisner ring to the non-strict stacky fans introduced by Geraschenko and Satriano. We then prove that this ring is isomorphic to the integral Chow ring of the smooth non-strict toric stack defined by the given non-strict stacky fan. This generalizes known results for the integral Chow rings of less general toric stacks.