List questions from local-field

39

Views

Is the subgroup of $WC(E/K)$ of curves with an $L$-rational point finite for $K$ local, $L/K$ finite Galois?

Published on 06 May 2023 - 9:06

58

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Basic proofs on Weil groups

Published on 12 May 2023 - 6:20

116

Views

Tate Twists of Z/nZ

Published on 25 Mar 2026 - 0:33

75

Views

Splitting on $p$ adic unit group

Published on 20 May 2023 - 7:21

67

Views

Discriminant of a $V_4$-extension of local fields is the product of discriminants of intermediate fields

Published on 20 May 2023 - 14:11

55

Views

What is the quotient group $\mathfrak{q}^2/\mathfrak{p}^2\mathbb Z_p$?

Published on 22 May 2023 - 17:34

67

Views

Why's $v_L (x)=\frac{1}{n}v_K(N_{L/K}(x))$ integer for unramified local field extension $L/K$?

Published on 28 May 2023 - 13:05

62

Views

uniqueness of local Artin map

Published on 28 May 2023 - 14:12

61

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Tate cohomology of units

Published on 02 Jun 2023 - 13:57

78

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What is the decomposition of global units $1+\mathfrak{p}$?

Published on 02 Jun 2023 - 14:45

24

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On the concept of primary element

Published on 03 Jun 2023 - 8:00

25

Views

Discriminant of a Quaternion Algebra over a local field

Published on 25 Mar 2026 - 15:42

84

Views

Cohomology of local fields in positive characteristic

Published on 24 Mar 2026 - 23:46

26

Views

Norm residue map maps uniformizing elements to Frobenius elements

Published on 06 Jun 2023 - 21:08

54

Views

Why $[E(K_q) : E_0(K_q)] ≤ 4$ and $E_0(K_q)$ is divisible by $2$ implies $E(K_q)[2^∞] = E[2]$?

Published on 13 Jun 2023 - 20:17

List Question

Is the subgroup of $WC(E/K)$ of curves with an $L$-rational point finite for $K$ local, $L/K$ finite Galois?

Basic proofs on Weil groups

Tate Twists of Z/nZ

Splitting on $p$ adic unit group

Discriminant of a $V_4$-extension of local fields is the product of discriminants of intermediate fields

What is the quotient group $\mathfrak{q}^2/\mathfrak{p}^2\mathbb Z_p$?

Why's $v_L (x)=\frac{1}{n}v_K(N_{L/K}(x))$ integer for unramified local field extension $L/K$?

uniqueness of local Artin map

Tate cohomology of units

What is the decomposition of global units $1+\mathfrak{p}$?

On the concept of primary element

Discriminant of a Quaternion Algebra over a local field

Cohomology of local fields in positive characteristic

Norm residue map maps uniformizing elements to Frobenius elements

Why $[E(K_q) : E_0(K_q)] ≤ 4$ and $E_0(K_q)$ is divisible by $2$ implies $E(K_q)[2^∞] = E[2]$?

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