Local Symbols and Existence Theorem
Identifieur interne : 002C24 ( Main/Merge ); précédent : 002C23; suivant : 002C25Local Symbols and Existence Theorem
Auteurs : Jean-Pierre Serre [France]Source :
- Graduate Texts in Mathematics [ 0072-5285 ] ; 1979.
Abstract
Abstract: Let K be a field, Ks a separable closure of K, and let G = G(Ks/K). If χ is a character of G— i.e., an element of H1(G,Q/Z) then δχ is an element of H2(G, Z). If b ∈ K*, the cup product b. δχ is an element of the Brauer group H2(G, Ks*) = Bk. We denote this element by the symbol (χ,b).
Url:
DOI: 10.1007/978-1-4757-5673-9_15
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<front><div type="abstract" xml:lang="en">Abstract: Let K be a field, Ks a separable closure of K, and let G = G(Ks/K). If χ is a character of G— i.e., an element of H1(G,Q/Z) then δχ is an element of H2(G, Z). If b ∈ K*, the cup product b. δχ is an element of the Brauer group H2(G, Ks*) = Bk. We denote this element by the symbol (χ,b).</div>
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