The crisp topology, a refinement of the fpqc topology
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915892516880384 |
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| author | Kern, Saskia |
| author_facet | Kern, Saskia |
| contents | We introduce the crisp topology for schemes as a refinement of the fpqc topology. This Grothendieck topology uses the new notion of crisp morphisms, which generalise universal injectivity from ring homomorphisms to arbitrary morphisms of schemes. We study basic properties and demonstrate that this topology is well-behaved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25272 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The crisp topology, a refinement of the fpqc topology Kern, Saskia Algebraic Geometry 13B10, 14A05, 14A15, 14F20 (Primary) 14F06 (Secondary) We introduce the crisp topology for schemes as a refinement of the fpqc topology. This Grothendieck topology uses the new notion of crisp morphisms, which generalise universal injectivity from ring homomorphisms to arbitrary morphisms of schemes. We study basic properties and demonstrate that this topology is well-behaved. |
| title | The crisp topology, a refinement of the fpqc topology |
| topic | Algebraic Geometry 13B10, 14A05, 14A15, 14F20 (Primary) 14F06 (Secondary) |
| url | https://arxiv.org/abs/2603.25272 |