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 93 · Answer 1 · 2026-05-10 23:39:14

93

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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 10 May 2026 - 23:39

score 103 · Answer 2 · 2026-03-25 17:39:18

103

Views

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

Published on 25 Mar 2026 - 17:39

score 85 · Answer 3 · 2026-03-25 17:38:39

85

Views

Inertia and decomposition groups in composite extension

Published on 25 Mar 2026 - 17:38

score 97 · Answer 4 · 2026-03-25 17:43:40

97

Views

Problem in Rick Miranda - check that map is unramified

Published on 25 Mar 2026 - 17:43

score 95 · Answer 5 · 2026-03-25 17:36:43

95

Views

Separability in the Definition of Ramification

Published on 25 Mar 2026 - 17:36

score 108 · Answer 6 · 2026-03-25 17:42:19

108

Views

Unramified morphism of schemes is locally of finite presentation

Published on 25 Mar 2026 - 17:42

score 439 · Answer 7 · 2026-04-26 09:08:13

439

Views

Algebraic varieties : How to calculate explicitly the ramification index?

Published on 26 Apr 2026 - 9:08

score 46 · Answer 8 · 2026-05-11 00:19:05

46

Views

Reduction step for studying cyclic algebras over local fields

Published on 11 May 2026 - 0:19

score 156 · Answer 9 · 2026-03-25 17:36:09

156

Views

Ramification group as unique p-Sylow subgroup

Published on 25 Mar 2026 - 17:36

score 87 · Answer 10 · 2026-05-11 02:03:11

87

Views

Equivalent condition for an extension of local fields to be unramified

Published on 11 May 2026 - 2:03

score 220 · Answer 11 · 2026-03-25 17:42:28

220

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 25 Mar 2026 - 17:42

score 269 · Answer 12 · 2026-03-25 17:44:01

269

Views

Prime splitting in imaginary squarefree quadratic field

Published on 25 Mar 2026 - 17:44

score 248 · Answer 13 · 2026-05-10 16:10:21

248

Views

Ramification in Maximal Totally Real Subfield

Published on 10 May 2026 - 16:10

score 156 · Answer 14 · 2026-05-10 19:40:56

156

Views

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

Published on 10 May 2026 - 19:40

score 273 · Answer 15 · 2026-03-25 17:36:18

273

Views

Serre's local field, Chapter 1 Proposition 10.

Published on 25 Mar 2026 - 17:36

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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