List questions from valuation-theory

Published on 30 Oct 2019 - 20:54

114

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why $-\log(x) $ is a valuation like $v_p(x)$?

Published on 13 Nov 2019 - 12:03

123

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What is the missing discrete valuation ring?

Published on 23 Nov 2019 - 9:40

48

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Discrete Valuation Property

Published on 27 Nov 2019 - 15:58

103

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Etale covers of $\mathbb{G}_{m,k}$ in char 0

Published on 25 Mar 2026 - 17:39

116

Views

If $A$ is a DVR such that $k\subset A\subset k(x)$, $Frac(A)=k(x)$ and $x\not\in A$, then $A=\mathcal{O}_{\infty}(k)$

Published on 26 Mar 2026 - 3:01

74

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How can 2-adic valuations be enhanced to accommodate a sixth root of unity?

Published on 09 Dec 2019 - 17:15

587

Views

integral closure is intersection of discrete valuation rings?

Published on 12 Dec 2019 - 9:27

59

Views

What does the notation $r \in |K^{\times}|$ mean?

Published on 25 Dec 2019 - 18:18

60

Views

What's $\lvert\cdot\rvert$ here?

Published on 28 Dec 2019 - 23:01

106

Views

Characteristic of residue class field

Published on 29 Dec 2019 - 16:09

23

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we have min-valuation?

Published on 31 Dec 2019 - 21:09

94

Views

Extending absolute value to p-adic number

Published on 01 Jan 2020 - 11:44

101

Views

Extension of valuation ring

Published on 03 Jan 2020 - 11:57

137

Views

Hands-on argument for base p version of Legendre's formula

Published on 04 Feb 2020 - 20:49

List Question

Valuation rings only have two prime ideals?

why $-\log(x) $ is a valuation like $v_p(x)$?

What is the missing discrete valuation ring?

Discrete Valuation Property

Etale covers of $\mathbb{G}_{m,k}$ in char 0

If $A$ is a DVR such that $k\subset A\subset k(x)$, $Frac(A)=k(x)$ and $x\not\in A$, then $A=\mathcal{O}_{\infty}(k)$

How can 2-adic valuations be enhanced to accommodate a sixth root of unity?

integral closure is intersection of discrete valuation rings?

What does the notation $r \in |K^{\times}|$ mean?

What's $\lvert\cdot\rvert$ here?

Characteristic of residue class field

we have min-valuation?

Extending absolute value to p-adic number

Extension of valuation ring

Hands-on argument for base p version of Legendre's formula

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