List questions from valuation-theory

Published on 29 Apr 2016 - 3:36

132

Views

Isomorphism of completions of number fields

Published on 30 Apr 2016 - 19:22

27

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Are the sets of valuations uniquely determined

Published on 09 May 2016 - 18:05

215

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Extension of DVRs and uniformizers

Published on 24 Mar 2026 - 11:23

254

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Value group of simple field extension: Are these value groups equal?

Published on 25 May 2016 - 15:25

172

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Non-smooth curve in $\mathbb{A}^2$

Published on 29 May 2016 - 15:19

67

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In a DVR, why does $u=f(t,u)$, with $f$ a homogeneous polynomial of degree $3$ and $t$ a uniformizer, imply $\nu(u)=3$?

Published on 05 Jun 2016 - 15:50

298

Views

Discrete valuation on $\mathbb{Q}(X,Y)$ such that the residue field is $\mathbb{Q}$

Published on 09 Jun 2016 - 3:53

31

Views

A detail on the proof of equivalence of valuations

Published on 11 Jun 2016 - 12:20

70

Views

Does every coset in a ring of integers contain a totally positive element?

Published on 02 Jul 2016 - 20:18

1k

Views

Intuition behind "Non-Archimedean" -- two senses of "non-archimedean".

Published on 03 Apr 2013 - 9:14

3.7k

Views

Examples of Non-Noetherian Valuation Rings

Published on 16 Apr 2013 - 7:45

1.3k

Views

Discrete Valuation Ring and Subring of the Fractions Field

Published on 14 May 2013 - 19:52

414

Views

Local fields and infinite extensions, basic questions

Published on 29 May 2013 - 10:45

2.3k

Views

How do we find the prime ideals of a ring of integers of a number field?

Published on 30 May 2013 - 1:13

List Question

The Archimedean place of $\mathbb{Q}$

Isomorphism of completions of number fields

Are the sets of valuations uniquely determined

Extension of DVRs and uniformizers

Value group of simple field extension: Are these value groups equal?

Non-smooth curve in $\mathbb{A}^2$

In a DVR, why does $u=f(t,u)$, with $f$ a homogeneous polynomial of degree $3$ and $t$ a uniformizer, imply $\nu(u)=3$?

Discrete valuation on $\mathbb{Q}(X,Y)$ such that the residue field is $\mathbb{Q}$

A detail on the proof of equivalence of valuations

Does every coset in a ring of integers contain a totally positive element?

Intuition behind "Non-Archimedean" -- two senses of "non-archimedean".

Examples of Non-Noetherian Valuation Rings

Discrete Valuation Ring and Subring of the Fractions Field

Local fields and infinite extensions, basic questions

How do we find the prime ideals of a ring of integers of a number field?

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