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The Integral Chow Ring of Smooth Non-strict Toric Stacks

Algebraic Geometry 2026-04-03 v1

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.

Keywords

Cite

@article{arxiv.2604.01677,
  title  = {The Integral Chow Ring of Smooth Non-strict Toric Stacks},
  author = {Sota Suzuki},
  journal= {arXiv preprint arXiv:2604.01677},
  year   = {2026}
}

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12 pages