On properties of the \(n\)-dimensional norm residue symbol in higher local class field theory

DOI10.1016/0022-4049(95)00161-1zbMath0864.11060OpenAlexW2030060535MaRDI QIDQ1917378

Robert A. Bell

Publication date: 22 June 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00161-1

zbMATH Keywords

\(n\)-dimensional local fields\(n\)-dimensional norm residue symbolhigher local class field theory

Mathematics Subject Classification ID

Class field theory; (p)-adic formal groups (11S31)

Related Items (2)

On the properties of the Vostokov and Parshin pairing in higher local class field theory ⋮ An Algebraic-Geometric Method for Constructing Generalized Local Symbols on Curves

Cites Work

• A generalization of local class field theory by using K-groups. I
• EXPLICIT CONSTRUCTION OF CLASS FIELD THEORY FOR A MULTIDIMENSIONAL LOCAL FIELD
• EXPLICIT FORM OF THE LAW OF RECIPROCITY
• ON THE ARITHMETIC OF TWO-DIMENSIONAL SCHEMES. I. DISTRIBUTIONS AND RESIDUES
• Local class field theory
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