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arxiv: 2101.01346 · v4 · submitted 2021-01-05 · 🧮 math.AC

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Valuation rings of mixed characteristic as limits of complete intersection rings

Dorin Popescu
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classification 🧮 math.AC
keywords characteristicvaluationcompletegammaintersectionmixedringsalgebras
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We show that a mixed characteristic valuation ring with a value group $\Gamma$, $\val$ its valuation and a residue field of characteristic $p>0$, is a filtered colimit of complete intersection $\bf Z$-algebras if $\Gamma/{\bf Z}\val(p)$ has no $p$-torsion and $V$ is Henselian.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Flat Cohomological Purity for Syntomic Schemes over Valuation Rings

    math.AG 2026-05 unverdicted novelty 6.0

    Proves that cohomology of syntomic schemes over valuation rings is unchanged by removing closed subschemes of suitable fibrewise codimension, extending Česnavičius–Scholze to non-noetherian cases.