2006/04/13 by Emil Artin · 3 citations
Mathematics · #Algebraic Geometry and Number Theory #Mathematics #Algebraic number theory #Class field theory #Pure mathematics #Residue field #Field (mathematics) #Algebraic number field #Algebraic number #Discrete mathematics #Algebra over a field #Mathematical analysis
paper · doi:10.1090/chel/358
openalex publication_date 2006/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/25
General valuation theory: Valuations of a field Complete fields e, f and n Ramification theory The different Local class field theory: Preparations for local class field theory The first and second inequalities The norm residue symbol The existence theorem Applications and illustrations Product formula and function fields in one variable: Preparations for the global theory Characterization of fields by the product formula Differentials in PF-fields The Riemann-Roch theorem Constant field extensions Applications of the Riemann-Roch theorem Differentials in function fields Theorems on p-groups and Sylow groups Index of symbols Subject index.