List questions from local-field

Published on 19 May 2017 - 22:17

403

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Any finite unramified extension of local fields $L/K$ induces a separable extension of residue fields $\ell/k$

Published on 21 May 2017 - 23:34

137

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Characters of a quadratic extension and convergence

Published on 16 Mar 2026 - 21:12

104

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How can I decide if $\mathbb{Q}_p$ contains the $\ell$-th roots of unity?

Published on 24 Jun 2017 - 3:40

850

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Uniformizers in DVRs of localizations in rings of integers

Published on 15 Jul 2017 - 18:33

291

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Non-archimedean absolute value of a locally compact field is discrete?

Published on 26 Jul 2017 - 7:40

336

Views

Higher ramification groups of Artin-Schreier extensions

Published on 05 Aug 2017 - 10:01

144

Views

An irreducible representation of $G$ is a $G$-subspace of $\textrm{Ind}_B^G(\chi)$

Published on 10 Aug 2017 - 18:27

119

Views

Index of certain subgroups of the unit group of a quaternion division algebra over a local non-archimedean field

Published on 25 Mar 2026 - 10:22

372

Views

2-power roots of unity in $\mathbb{Q}_p$

Published on 04 Sep 2017 - 15:21

888

Views

roots of unity, wild ramification and units of norm one in local fields

Published on 26 Mar 2026 - 16:06

54

Views

$|b|^{\frac {1}{\log b}}= |a|^{\frac {1}{\log a}}$ implies $|b|=b^ {\lambda}$

Published on 11 Sep 2017 - 18:06

81

Views

Diagonal embedding into finite idele group

Published on 14 Sep 2017 - 16:52

1.1k

Views

Locally compact valued field is complete?

Published on 25 Mar 2026 - 11:12

591

Views

Discriminant of an Elliptic Curves and Good/Bad Reduction

Published on 25 Oct 2017 - 19:02

List Question

Lang paper (1952) question

Any finite unramified extension of local fields $L/K$ induces a separable extension of residue fields $\ell/k$

Characters of a quadratic extension and convergence

How can I decide if $\mathbb{Q}_p$ contains the $\ell$-th roots of unity?

Uniformizers in DVRs of localizations in rings of integers

Non-archimedean absolute value of a locally compact field is discrete?

Higher ramification groups of Artin-Schreier extensions

An irreducible representation of $G$ is a $G$-subspace of $\textrm{Ind}_B^G(\chi)$

Index of certain subgroups of the unit group of a quaternion division algebra over a local non-archimedean field

2-power roots of unity in $\mathbb{Q}_p$

roots of unity, wild ramification and units of norm one in local fields

$|b|^{\frac {1}{\log b}}= |a|^{\frac {1}{\log a}}$ implies $|b|=b^ {\lambda}$

Diagonal embedding into finite idele group

Locally compact valued field is complete?

Discriminant of an Elliptic Curves and Good/Bad Reduction

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