List questions from class-field-theory

54

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What does the characteristic ideal of a f.g. torsion $\Lambda(G)$-module tell me about the arithmetic of the extension?

Published on 12 Apr 2023 - 9:34

90

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Why Chebotarev's density theorem implies $ \exists {v \in Ω_L}$ such that $Gal(L_v/K_{v'})$ is generated by $\sigma^2$?

Published on 26 Mar 2026 - 4:34

102

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Is there an reciprocity in topology?

Published on 20 Apr 2023 - 0:17

162

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More class field theory

Published on 23 Apr 2023 - 1:45

112

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Step in Yoshida's proof of Hasse-Arf theorem

Published on 26 Mar 2026 - 2:55

36

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Why $Br(Spec(K))=Br(K)$ holds?

Published on 24 Mar 2026 - 23:43

58

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Class group of quadratic field extension $\mathbb Q(\sqrt{-69})$ has order 8

Published on 25 Mar 2026 - 6:05

128

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Find a non-trivial element in the class group of $\mathbb{Q}( \sqrt{−5})$.

Published on 25 Mar 2026 - 4:41

59

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Basic proofs on Weil groups

Published on 26 Mar 2026 - 4:28

81

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A field has a unique algebraic extension of each degree if and only if its absolute Galois group is the profinite completion of integers

Published on 25 Mar 2026 - 19:12

63

Views

uniqueness of local Artin map

Published on 26 Mar 2026 - 4:31

62

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Tate cohomology of units

Published on 26 Mar 2026 - 6:21

84

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Cohomology of local fields in positive characteristic

Published on 24 Mar 2026 - 23:46

51

Views

Is there an algebraic function that satisfies the Abelian complex multiplication with even irrational multiplicator?

Published on 26 Mar 2026 - 12:34

27

Views

Norm residue map maps uniformizing elements to Frobenius elements

Published on 26 Mar 2026 - 4:29

List Question

What does the characteristic ideal of a f.g. torsion $\Lambda(G)$-module tell me about the arithmetic of the extension?

Why Chebotarev's density theorem implies $ \exists {v \in Ω_L}$ such that $Gal(L_v/K_{v'})$ is generated by $\sigma^2$?

Is there an reciprocity in topology?

More class field theory

Step in Yoshida's proof of Hasse-Arf theorem

Why $Br(Spec(K))=Br(K)$ holds?

Class group of quadratic field extension $\mathbb Q(\sqrt{-69})$ has order 8

Find a non-trivial element in the class group of $\mathbb{Q}( \sqrt{−5})$.

Basic proofs on Weil groups

A field has a unique algebraic extension of each degree if and only if its absolute Galois group is the profinite completion of integers

uniqueness of local Artin map

Tate cohomology of units

Cohomology of local fields in positive characteristic

Is there an algebraic function that satisfies the Abelian complex multiplication with even irrational multiplicator?

Norm residue map maps uniformizing elements to Frobenius elements

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