Scheme theory for commutative semirings
Algebraic Geometry
2026-01-21 v1 Commutative Algebra
Abstract
In this survey, we describe two different approaches to constructing affine schemes for commutative semirings: one based on prime ideals, and another based on prime kernels (also called subtractive ideals). We then explain how these two approaches are related through the theory of universal valuations.
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Cite
@article{arxiv.2601.14136,
title = {Scheme theory for commutative semirings},
author = {Roberto Gualdi and Arne Kuhrs and Mayo Mayo Garcia and Xavier Xarles},
journal= {arXiv preprint arXiv:2601.14136},
year = {2026}
}
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39 pages