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arxiv: 1002.4694 · v3 · pith:VVIGMSWXnew · submitted 2010-02-25 · 🧮 math.NT

Extensions of truncated discrete valuation rings II

classification 🧮 math.NT
keywords extensionscategorydiscretefiniteramifiedvaluationcompleteequivalence
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An equivalence is established between the category of at most $a$-ramified finite separable extensions of a complete discrete valuation field $K$ and the category of at most $a$-ramified finite extensions of the "length-$a$ truncation" $\OK/\mK^a$ of the integer ring of $K$.

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