Valuation rings of mixed characteristic as limits of complete intersection rings
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arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866909034258366464 |
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| author | Popescu, Dorin |
| author_facet | Popescu, Dorin |
| contents | We show that a mixed characteristic valuation ring with a value group $Γ$, $\val$ its valuation and a residue field of characteristic $p>0$, is a filtered colimit of complete intersection $\bf Z$-algebras if $Γ/{\bf Z}\val(p)$ has no $p$-torsion and $V$ is Henselian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_01346 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Valuation rings of mixed characteristic as limits of complete intersection rings Popescu, Dorin Commutative Algebra We show that a mixed characteristic valuation ring with a value group $Γ$, $\val$ its valuation and a residue field of characteristic $p>0$, is a filtered colimit of complete intersection $\bf Z$-algebras if $Γ/{\bf Z}\val(p)$ has no $p$-torsion and $V$ is Henselian. |
| title | Valuation rings of mixed characteristic as limits of complete intersection rings |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2101.01346 |