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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.28616 |
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| _version_ | 1866917369807372288 |
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| author | Lorscheid, Oliver |
| author_facet | Lorscheid, Oliver |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28616 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two comparison theorems for semiring schemes Lorscheid, Oliver Algebraic Geometry 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. |
| title | Two comparison theorems for semiring schemes |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2603.28616 |