List questions from valuation-theory

Published on 16 Apr 2026 - 18:10

82

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Given a valuation on a field , does it always extend to a valuation on every extension field

Published on 13 Apr 2026 - 16:15

84

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definition of valuation ring of a place on wikipedia

Published on 16 Apr 2026 - 3:00

138

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On $A$ algebra homomorphisms $A[[X_1,...,X_n]]\to Q(A)$, where $A$ is a complete DVR

Published on 17 Apr 2026 - 4:23

113

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$p$-adic power series and its maximum in the unit ball

Published on 29 Apr 2026 - 12:44

202

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On the Newton Polygon for $p-$adic Power series

Published on 16 Apr 2026 - 7:15

65

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The valuation attached to a smooth point of an algebraic variety

Published on 25 Mar 2026 - 1:18

232

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Explicit example of complete discrete valuation field with prescribed residue field

Published on 11 Apr 2026 - 20:29

701

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The residue field of valuations are finite extension

Published on 11 Apr 2026 - 16:48

71

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Valuation of $x^\lambda$ in a complete, $p$-valued group

Published on 12 Apr 2026 - 15:51

819

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Extending absolute values on local fields - what is the 'correct' normalization and the relation to the global theory?

Published on 12 Apr 2026 - 10:04

110

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Trace map for extension of local fields

Published on 11 Apr 2026 - 23:48

177

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Relation between tame symbol and residue on a curve

Published on 15 Apr 2026 - 5:02

477

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Why is the residue field of $\mathbb{Q}_p$ isomorphic to $\mathbb{F}_p$?

Published on 17 Apr 2026 - 1:50

119

Views

Can a given field have multiple value groups?

Published on 09 Apr 2026 - 7:39

List Question

Suppose that the spot price...

Given a valuation on a field , does it always extend to a valuation on every extension field

definition of valuation ring of a place on wikipedia

On $A$ algebra homomorphisms $A[[X_1,...,X_n]]\to Q(A)$, where $A$ is a complete DVR

$p$-adic power series and its maximum in the unit ball

On the Newton Polygon for $p-$adic Power series

The valuation attached to a smooth point of an algebraic variety

Explicit example of complete discrete valuation field with prescribed residue field

The residue field of valuations are finite extension

Valuation of $x^\lambda$ in a complete, $p$-valued group

Extending absolute values on local fields - what is the 'correct' normalization and the relation to the global theory?

Trace map for extension of local fields

Relation between tame symbol and residue on a curve

Why is the residue field of $\mathbb{Q}_p$ isomorphic to $\mathbb{F}_p$?

Can a given field have multiple value groups?

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