A cup product in the Galois cohomology of number fields
By William G. McCallum, R. Sharifi. 2002
56 citations recorded by the source corpus.
This paper is devoted to the consideration of a certain cup product in the Galois cohomology of an algebraic number field with restricted ramification. Let n be a positive integer, let K be a number field containing the group μn of nth roots of unity, and let S be a finite set of primes including those above n and all real archimedean places. Let GK,S denote the Galois group of the maximal extension of K unramified outside S (inside a fixed algebraic closure of K). We consider the cup product H(GK,S, μn)⊗H(GK,S, μn)→ H(GK,S, μ⊗2 n ). ()
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e43dd4444fccf593fcb00e73149fdd09f0072078
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In Geometry and Topology
- R. Sujatha
- John Coates
- F. Brown
- Erik Panzer
- Oliver Schnetz
- Gudrun Heinrich
- Thomas Willwacher
- O. Venjakob
In Mathematical Physics
Citations in the corpus
- Fine Selmer groups of elliptic curves over p-adic Lie extensions (2005, background): “Example 4.14. [ 17 ], [25] Take p to be an odd prime, F = Q(µp), and let F∞ be the false Tate curve extension with α = p. The Iwasawa µ-invariant conjecture holds for F cyc = Q(µp ∞), and t = 1. Hence (89) shows that G(K(F∞)/F∞) is”
- Depth-graded motivic multiple zeta values (2013, methodology): “The appearance of the numerators of Bernoulli numbers is related to conjecture 2 in [20] and has been studied from the Galois-theoretic side by Sharifi [31] and McCallum and Sharifi [27].”