Two comparison theorems for semiring schemes
Algebraic Geometry
2026-03-31 v1
Abstract
In this note, we compare the two approaches to semiring schemes as topological spaces with a structure sheaf and as a functor of points. We explain and prove the following two results: (1) the topological space can be recovered from the functor of points; (2) the two notions of semiring schemes are canonically equivalent as categories.
Cite
@article{arxiv.2603.28616,
title = {Two comparison theorems for semiring schemes},
author = {Oliver Lorscheid},
journal= {arXiv preprint arXiv:2603.28616},
year = {2026}
}
Comments
12 pages