List questions from valuation-theory

Published on 14 Sep 2021 - 15:55

315

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Completions of Global Field are Local Fields

Published on 27 Mar 2026 - 4:23

79

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Relating prime spots and prime ideals in number fields

Published on 17 Sep 2021 - 14:44

37

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Let $K$ and $K'$ be local field, and $v$ and $v'$ be it's valuation. Suppose $K'/K$ is unramified

Published on 27 Mar 2026 - 6:12

109

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What is the definition for totally ramified extensions of a henselian valued field

Published on 17 Sep 2021 - 18:28

135

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Fundamental Identity - Extension of Valuations

Published on 18 Sep 2021 - 16:49

110

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Completion of Galois extension is Galois

Published on 24 Sep 2021 - 20:34

59

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Completeness of field may change under the extension of field, then what justifies $K^{nr}$ is complete?

Published on 26 Sep 2021 - 15:17

78

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Question about p.165 in Local Fields by Cassels

Published on 27 Mar 2026 - 6:09

145

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Suppose $(R, \mathfrak m)$ is a local domain, dominated by a valuation ring $R_v \subset Q(R)$. Is $R/ \mathfrak m = R_v / \mathfrak m_v$ true?

Published on 05 Oct 2021 - 13:24

101

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Completion of $\mathbb{F}_2[x]$

Published on 07 Oct 2021 - 7:37

36

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algebraic numbers and algebraic integers

Published on 12 Oct 2021 - 6:54

170

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How to define a valuation

Published on 23 Oct 2021 - 21:28

174

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Extensions of the $p$-adic valuation to $\overline{\mathbb{Q}}$

Published on 31 Oct 2021 - 20:53

108

Views

Silverman AEC: Lemma IV.6.3 [on the convergence of formal logarithm]

Published on 25 Mar 2026 - 6:04

List Question

Valuations in function fields

Completions of Global Field are Local Fields

Relating prime spots and prime ideals in number fields

Let $K$ and $K'$ be local field, and $v$ and $v'$ be it's valuation. Suppose $K'/K$ is unramified

What is the definition for totally ramified extensions of a henselian valued field

Fundamental Identity - Extension of Valuations

Completion of Galois extension is Galois

Completeness of field may change under the extension of field, then what justifies $K^{nr}$ is complete?

Question about p.165 in Local Fields by Cassels

Suppose $(R, \mathfrak m)$ is a local domain, dominated by a valuation ring $R_v \subset Q(R)$. Is $R/ \mathfrak m = R_v / \mathfrak m_v$ true?

Completion of $\mathbb{F}_2[x]$

algebraic numbers and algebraic integers

How to define a valuation

Extensions of the $p$-adic valuation to $\overline{\mathbb{Q}}$

Silverman AEC: Lemma IV.6.3 [on the convergence of formal logarithm]

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