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arXiv · 2507.13610

K-rings of smooth toric varieties via piecewise-exponential functions

Melody Chan·Emily Clader·Caroline Klivans·Dustin Ross
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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.

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Melody Chan, Emily Clader, Caroline Klivans, Dustin Ross. 2025-07-18. K-rings of smooth toric varieties via piecewise-exponential functions. https://arxiv.org/abs/2507.13610

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