Perfectoid Nullstellensatz: Results and counterexamples
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909729671872512 |
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| author | Gleason, Ian |
| author_facet | Gleason, Ian |
| contents | We give necessary conditions and we give sufficient conditions for perfectoid Nullstellensatz to hold. As a consequence, we prove that perfectoid Nullstellensatz does not hold for $\mathbb{C}_p$ and other natural p-adic fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_01901 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Perfectoid Nullstellensatz: Results and counterexamples Gleason, Ian Number Theory Algebraic Geometry We give necessary conditions and we give sufficient conditions for perfectoid Nullstellensatz to hold. As a consequence, we prove that perfectoid Nullstellensatz does not hold for $\mathbb{C}_p$ and other natural p-adic fields. |
| title | Perfectoid Nullstellensatz: Results and counterexamples |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2212.01901 |