An \(n\)-dimensional Contou-Carrère symbol over an Artinian local ring

DOI10.1007/s00229-006-0062-2zbMath1136.19003OpenAlexW1980248964MaRDI QIDQ996058

Fernando Pablos Romo

Publication date: 11 September 2007

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-006-0062-2

zbMATH Keywords

reciprocity lawtame symbolParshin symbolContou-Carrère symbolWitt residue

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Commutator calculus (20F12) Symbols and arithmetic ((K)-theoretic aspects) (19F15) Higher symbols, Milnor (K)-theory (19D45) (K)-theory of local fields (11S70)

Cites Work

• Galois cohomology and the Brauer group of local fields
• A generalization of the Contou-Carrère symbol
• Cohomology theory in abstract groups. I
• Onn-Dimensional Steinberg Symbols
• Simple Proofs of Classical Explicit Reciprocity Laws on Curves Using Determinant Groupoids Over an Artinian Local Ring
• Residues and tame symbols on toroidal varieties
• Residues of differentials on curves
• Local class field theory
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