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Galois cohomology and the Brauer group of local fields

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Publication:807677
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zbMath0731.11064MaRDI QIDQ807677

A. N. Parshin

Publication date: 1991

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Brauer grouphigher dimensional local fields


Mathematics Subject Classification ID

Cohomological dimension of fields (12G10) Galois cohomology (11S25) Galois cohomology (12G05) Ramification and extension theory (11S15) Brauer groups of schemes (14F22) Class field theory; (p)-adic formal groups (11S31) (K)-theory of local fields (11S70)


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An Introduction to p-Adic Hodge Theory, Schmid's formula for higher local fields, The field-of-norms functor and the Hilbert symbol for higher local fields, Class field theory, its three main generalisations, and applications, Class formations and higher dimensional local class field theory, Generalised Kawada-Satake method for Mackey functors in class field theory, Aleksei Nikolaevich Parshin (on his 70th birthday), An \(n\)-dimensional Contou-Carrère symbol over an Artinian local ring



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