List questions from valuation-theory

Published on 17 Mar 2026 - 14:49

231

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Calculating the residue field of $\mathbb{F}_q(t)$ with respect to the valuation $-\deg$

Published on 17 Mar 2026 - 7:41

77

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Different discrete valuation rings inside the same fraction field

Published on 17 Mar 2026 - 3:30

149

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Extensions of maximally complete fields

Published on 22 Mar 2026 - 5:26

86

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State Price Density Integration - Related to Ito's lemma

Published on 25 Mar 2026 - 2:34

779

Views

Valuation on the field of rational functions

Published on 22 Mar 2026 - 9:37

284

Views

Is every algebraically closed subfield of $\mathbb C[[X]]$ contained in $\mathbb C$?

Published on 17 Mar 2026 - 12:19

197

Views

Working out an inequality in the proof of Ostrowski's Theorem

Published on 17 Mar 2026 - 8:34

146

Views

The image of a valuation is dense in $\mathbb{R}$

Published on 17 Mar 2026 - 5:55

111

Views

Kernel of the map $D^2+aD+b : k[[X]] \to k[[X]]$ , where $D :k[[X]] \to k[[X]]$ is the usual derivative map

Published on 17 Mar 2026 - 16:15

56

Views

Growth rates of matrices

Published on 22 Mar 2026 - 17:43

276

Views

How a finite extension of transcendence degree $1$ extensions induces a morphism of curves

Published on 25 Mar 2026 - 1:18

314

Views

Local, factorization domain with principal maximal ideal is a PID?

Published on 23 Mar 2026 - 3:14

1.4k

Views

Is every discrete absolute value non-archimedean?

Published on 25 Mar 2026 - 6:24

111

Views

Valuations on sections of line bundles

Published on 17 Mar 2026 - 3:10

List Question

Does every valuation ring arise out of a valuation?

Calculating the residue field of $\mathbb{F}_q(t)$ with respect to the valuation $-\deg$

Different discrete valuation rings inside the same fraction field

Extensions of maximally complete fields

State Price Density Integration - Related to Ito's lemma

Valuation on the field of rational functions

Is every algebraically closed subfield of $\mathbb C[[X]]$ contained in $\mathbb C$?

Working out an inequality in the proof of Ostrowski's Theorem

The image of a valuation is dense in $\mathbb{R}$

Kernel of the map $D^2+aD+b : k[[X]] \to k[[X]]$ , where $D :k[[X]] \to k[[X]]$ is the usual derivative map

Growth rates of matrices

How a finite extension of transcendence degree $1$ extensions induces a morphism of curves

Local, factorization domain with principal maximal ideal is a PID?

Is every discrete absolute value non-archimedean?

Valuations on sections of line bundles

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