Question

Compute extension and intertial degree of $\mathbb{Q}_3(\sqrt[4]{-3}, i, \xi_3, \sqrt[3]{2})/\mathbb{Q}_3(\xi_3, \sqrt[3]{2})$

score 91 · Answer 1 · 2019-11-28 04:46:21

91

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Compute extension and intertial degree of $\mathbb{Q}_3(\sqrt[4]{-3}, i, \xi_3, \sqrt[3]{2})/\mathbb{Q}_3(\xi_3, \sqrt[3]{2})$

Published on 28 Nov 2019 - 4:46

score 102 · Answer 2 · 2019-12-03 19:51:31

102

Views

Etale covers of $\mathbb{G}_{m,k}$ in char 0

Published on 03 Dec 2019 - 19:51

score 84 · Answer 3 · 2019-12-05 21:04:12

84

Views

Inertia and decomposition groups in composite extension

Published on 05 Dec 2019 - 21:04

score 96 · Answer 4 · 2020-01-09 23:35:14

96

Views

Problem in Rick Miranda - check that map is unramified

Published on 09 Jan 2020 - 23:35

score 94 · Answer 5 · 2020-01-22 10:09:15

94

Views

Separability in the Definition of Ramification

Published on 22 Jan 2020 - 10:09

score 107 · Answer 6 · 2020-01-27 09:23:00

107

Views

Unramified morphism of schemes is locally of finite presentation

Published on 27 Jan 2020 - 9:23

score 415 · Answer 7 · 2026-03-25 05:06:02

415

Views

Algebraic varieties : How to calculate explicitly the ramification index?

Published on 25 Mar 2026 - 5:06

score 41 · Answer 8 · 2026-03-07 10:56:53

41

Views

Reduction step for studying cyclic algebras over local fields

Published on 07 Mar 2026 - 10:56

score 155 · Answer 9 · 2020-03-15 19:59:45

155

Views

Ramification group as unique p-Sylow subgroup

Published on 15 Mar 2020 - 19:59

score 85 · Answer 10 · 2020-03-23 21:17:45

85

Views

Equivalent condition for an extension of local fields to be unramified

Published on 23 Mar 2020 - 21:17

score 219 · Answer 11 · 2020-04-01 10:43:39

219

Views

Show that a prime is ramified in a cyclotomic field if and only if it divides the discriminant, without using relative discriminants

Published on 01 Apr 2020 - 10:43

score 268 · Answer 12 · 2020-04-15 00:24:54

268

Views

Prime splitting in imaginary squarefree quadratic field

Published on 15 Apr 2020 - 0:24

score 247 · Answer 13 · 2026-03-25 04:38:10

247

Views

Ramification in Maximal Totally Real Subfield

Published on 25 Mar 2026 - 4:38

score 155 · Answer 14 · 2026-03-25 07:46:05

155

Views

If $\rho$ is a mod $p$ irreducible representation of $G_{\mathbb{Q}_p}$, why is it tamely ramified?

Published on 25 Mar 2026 - 7:46

score 272 · Answer 15 · 2020-04-30 23:27:31

272

Views

Serre's local field, Chapter 1 Proposition 10.

Published on 30 Apr 2020 - 23:27

List Question

Compute extension and intertial degree of $\mathbb{Q}_3(\sqrt[4]{-3}, i, \xi_3, \sqrt[3]{2})/\mathbb{Q}_3(\xi_3, \sqrt[3]{2})$

Etale covers of $\mathbb{G}_{m,k}$ in char 0

Inertia and decomposition groups in composite extension

Problem in Rick Miranda - check that map is unramified

Separability in the Definition of Ramification

Unramified morphism of schemes is locally of finite presentation

Algebraic varieties : How to calculate explicitly the ramification index?

Reduction step for studying cyclic algebras over local fields

Ramification group as unique p-Sylow subgroup

Equivalent condition for an extension of local fields to be unramified

Show that a prime is ramified in a cyclotomic field if and only if it divides the discriminant, without using relative discriminants

Prime splitting in imaginary squarefree quadratic field

Ramification in Maximal Totally Real Subfield

If $\rho$ is a mod $p$ irreducible representation of $G_{\mathbb{Q}_p}$, why is it tamely ramified?

Serre's local field, Chapter 1 Proposition 10.

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