K-rings of smooth toric varieties via piecewise-exponential functions
Algebraic Geometry
2025-07-21 v1
Abstract
We describe an explicit presentation of the ring of integral piecewise-exponential functions on a unimodular fan as a quotient of the Stanley-Reisner ring of the fan. This gives rise to a presentation of K-rings of smooth toric varieties that is parallel to the well-known presentation of integral Chow rings as quotients of Stanley-Reisner rings.
Keywords
Cite
@article{arxiv.2507.13610,
title = {K-rings of smooth toric varieties via piecewise-exponential functions},
author = {Melody Chan and Emily Clader and Caroline Klivans and Dustin Ross},
journal= {arXiv preprint arXiv:2507.13610},
year = {2025}
}
Comments
10 pages. arXiv admin note: text overlap with arXiv:2503.22636