Question

Higher Ramification Groups of Degree $p$ Cyclic Extensions.

score 506 · Answer 1 · 2017-11-28 13:21:09

506

Views

Higher Ramification Groups of Degree $p$ Cyclic Extensions.

Published on 28 Nov 2017 - 13:21

score 111 · Answer 2 · 2017-12-22 13:50:20

111

Views

Given a prime $\wp$, are there different primes $\wp_2$,..., $\wp_s$ such that $\wp \wp_2\cdots \wp_s$ is principal?

Published on 22 Dec 2017 - 13:50

score 434 · Answer 3 · 2018-01-04 14:36:37

434

Views

Ramification of primes in the ring of integers of a number field

Published on 04 Jan 2018 - 14:36

score 155 · Answer 4 · 2020-08-02 10:47:41

155

Views

Example of number field with certain conditions on ramification index and degree

Published on 02 Aug 2020 - 10:47

score 119 · Answer 5 · 2020-08-13 03:46:19

119

Views

Finding a generator of a cyclic and totally ramified extension by using a generator of an unramified extension of the greater field of the same degree

Published on 13 Aug 2020 - 3:46

score 79 · Answer 6 · 2026-03-26 09:46:58

79

Views

If $F$ has a ramification point, then is $F$ necessarily not injective?

Published on 26 Mar 2026 - 9:46

score 96 · Answer 7 · 2026-03-26 09:39:18

96

Views

Whether or not constant multiplicity one implies chart map

Published on 26 Mar 2026 - 9:39

score 83 · Answer 8 · 2026-03-26 08:00:47

83

Views

What does 'Let $F: X \to Y$ be a holomorphic map defined at $p \in X$, which is not constant' mean?

Published on 26 Mar 2026 - 8:00

score 210 · Answer 9 · 2026-03-26 03:12:43

210

Views

Galois representation being unramified is Galois local

Published on 26 Mar 2026 - 3:12

score 85 · Answer 10 · 2020-10-18 03:44:18

85

Views

Analogy between $\operatorname{Spec} \Bbb R[y] \to \operatorname{Spec} \Bbb R[y^2]$ and $\operatorname{Spec} \Bbb Z[i] \to \operatorname{Spec} \Bbb Z$

Published on 18 Oct 2020 - 3:44

score 149 · Answer 11 · 2026-03-26 06:31:02

149

Views

On the factorization of prime ideals of $\mathbb{Z}$ in $\mathbb{Z}[\zeta]$

Published on 26 Mar 2026 - 6:31

score 147 · Answer 12 · 2020-10-28 15:33:01

147

Views

Inertia subgroup of finite extension over $\mathbb{Q}_p$ whose ramification index is not divisible by $p$

Published on 28 Oct 2020 - 15:33

score 60 · Answer 13 · 2026-03-26 06:30:51

60

Views

Lower for the inertial degree $f$ in cyclotomic field

Published on 26 Mar 2026 - 6:30

score 53 · Answer 14 · 2020-11-10 17:49:57

53

Views

When can we say that $e(LK/L)\leq e(K/\mathbb{Q}_p)$?

Published on 10 Nov 2020 - 17:49

score 139 · Answer 15 · 2020-11-16 19:57:33

139

Views

Ramification and algebraic closure

Published on 16 Nov 2020 - 19:57

List Question

Higher Ramification Groups of Degree $p$ Cyclic Extensions.

Given a prime $\wp$, are there different primes $\wp_2$,..., $\wp_s$ such that $\wp \wp_2\cdots \wp_s$ is principal?

Ramification of primes in the ring of integers of a number field

Example of number field with certain conditions on ramification index and degree

Finding a generator of a cyclic and totally ramified extension by using a generator of an unramified extension of the greater field of the same degree

If $F$ has a ramification point, then is $F$ necessarily not injective?

Whether or not constant multiplicity one implies chart map

What does 'Let $F: X \to Y$ be a holomorphic map defined at $p \in X$, which is not constant' mean?

Galois representation being unramified is Galois local

Analogy between $\operatorname{Spec} \Bbb R[y] \to \operatorname{Spec} \Bbb R[y^2]$ and $\operatorname{Spec} \Bbb Z[i] \to \operatorname{Spec} \Bbb Z$

On the factorization of prime ideals of $\mathbb{Z}$ in $\mathbb{Z}[\zeta]$

Inertia subgroup of finite extension over $\mathbb{Q}_p$ whose ramification index is not divisible by $p$

Lower for the inertial degree $f$ in cyclotomic field

When can we say that $e(LK/L)\leq e(K/\mathbb{Q}_p)$?

Ramification and algebraic closure

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