List questions from valuation-theory

Published on 12 Oct 2018 - 12:25

174

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A 2-dimensional valuation domain

Published on 19 Oct 2018 - 6:59

145

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Is the value group of an algebraically closed valued field divisible?

Published on 20 Oct 2018 - 18:48

398

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On the maximal unramified extension of $\mathbb{Q}_{p}$ of a given degree.

Published on 23 Oct 2018 - 19:14

106

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About the existence of tamely ramified extensions

Published on 25 Mar 2026 - 6:05

327

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(Sanity check) the adic spectrum $\operatorname{Spa}(\mathbb{Z}, \mathbb{Z})$

Published on 23 Mar 2026 - 12:06

466

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Ideals are linearly ordered in evaluation rings

Published on 17 Nov 2018 - 20:34

271

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How to find the Newton polygon of the polynomial product $ \ \prod_{i=1}^{p^2} (1-iX)$

Published on 20 Nov 2018 - 7:27

60

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Adjoining an element with given minimal polynomial to a DVR of characteristic p.

Published on 25 Mar 2026 - 3:07

42

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Local fields. A $p$ - field $(k,v)$ with $\mathfrak{l=o/p}=\mathbb{F}_q$. Proof of lemma.

Published on 25 Mar 2026 - 6:06

101

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every ordered ﬁeld $K$ has a natural valuation $v$, whose residue ﬁeld is an archimedean ordered ﬁeld.

Published on 25 Mar 2026 - 7:48

95

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Valuation ring and localizations

Published on 03 Dec 2018 - 17:46

339

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Valuation of the p adic logarithm

Published on 08 Dec 2018 - 18:38

56

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non commuative division ring with a discrete valuation

Published on 25 Dec 2018 - 2:46

305

Views

Galois Groups in Ramification Theory

Published on 25 Mar 2026 - 6:19

List Question

Is the residue field of an algebraically closed valued field algebraically closed?

A 2-dimensional valuation domain

Is the value group of an algebraically closed valued field divisible?

On the maximal unramified extension of $\mathbb{Q}_{p}$ of a given degree.

About the existence of tamely ramified extensions

(Sanity check) the adic spectrum $\operatorname{Spa}(\mathbb{Z}, \mathbb{Z})$

Ideals are linearly ordered in evaluation rings

How to find the Newton polygon of the polynomial product $ \ \prod_{i=1}^{p^2} (1-iX)$

Adjoining an element with given minimal polynomial to a DVR of characteristic p.

Local fields. A $p$ - field $(k,v)$ with $\mathfrak{l=o/p}=\mathbb{F}_q$. Proof of lemma.

every ordered ﬁeld $K$ has a natural valuation $v$, whose residue ﬁeld is an archimedean ordered ﬁeld.

Valuation ring and localizations

Valuation of the p adic logarithm

non commuative division ring with a discrete valuation

Galois Groups in Ramification Theory

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