List questions from valuation-theory

Published on 27 Oct 2020 - 16:14

35

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Demonstrate Risk Formula in Markowitz Asset Pricing Model

Published on 28 Oct 2020 - 15:09

108

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Lebesgue measure of "oblique rectangles" (aka parallelepipeds with orthonormal axes)

Published on 01 Nov 2020 - 21:23

89

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Show that the localization $k[t]_{(t)}$ is a valuation ring

Published on 26 Nov 2020 - 7:50

133

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Compactness of units in ring of integers

Published on 27 Mar 2026 - 6:07

388

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Let $R$ and $R'$ be two discrete valuation rings of $K$. Is $R=R'$?

Published on 08 Dec 2020 - 11:45

105

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Give an example of a local domain with principal maximal ideal, which is not a valuation ring

Published on 13 Dec 2020 - 11:05

1.4k

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Classical number theoretic applications of the $p$-adic numbers

Published on 16 Dec 2020 - 17:17

177

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Prove a subring of rationals is a DVR

Published on 24 Dec 2020 - 4:55

71

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Relaxation of valuation axioms?

Published on 27 Mar 2026 - 2:37

85

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$O_{K,\mathfrak{p}} = \Bbb{Z}[a]_{(p,\pi)}$ when $O_K$ is non-monogenic

Published on 01 Jan 2021 - 12:12

147

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How to show that any nontrivial valuation on the field of rational numbers is equivalent to some p-adic valuation?

Published on 02 Jan 2021 - 16:32

105

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When is the glueing of affine schemes again affine?

Published on 28 Mar 2026 - 0:50

51

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About the perfect residue fields of henselian valuations

Published on 11 Jan 2021 - 15:23

58

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integral closure of $k[[t]]$ in algebraic closure of $k((t))$ is not Noether

Published on 17 Jan 2021 - 6:58

List Question

2-adic valuation of $5^{2^{k-2}}-1$

Demonstrate Risk Formula in Markowitz Asset Pricing Model

Lebesgue measure of "oblique rectangles" (aka parallelepipeds with orthonormal axes)

Show that the localization $k[t]_{(t)}$ is a valuation ring

Compactness of units in ring of integers

Let $R$ and $R'$ be two discrete valuation rings of $K$. Is $R=R'$?

Give an example of a local domain with principal maximal ideal, which is not a valuation ring

Classical number theoretic applications of the $p$-adic numbers

Prove a subring of rationals is a DVR

Relaxation of valuation axioms?

$O_{K,\mathfrak{p}} = \Bbb{Z}[a]_{(p,\pi)}$ when $O_K$ is non-monogenic

How to show that any nontrivial valuation on the field of rational numbers is equivalent to some p-adic valuation?

When is the glueing of affine schemes again affine?

About the perfect residue fields of henselian valuations

integral closure of $k[[t]]$ in algebraic closure of $k((t))$ is not Noether

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