Higher-dimensional Contou-Carrère symbol and continuous automorphisms

DOI10.1007/s10688-016-0158-8zbMath1360.19005arXiv1604.08049OpenAlexW3104401429MaRDI QIDQ524115

Sergey O. Gorchinskiy, D. V. Osipov

Publication date: 25 April 2017

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08049

zbMATH Keywords

continuous automorphismshigher-dimensional Contou-Carrère symboliterated Laurent series over a ring

Mathematics Subject Classification ID

Symbols and arithmetic ((K)-theoretic aspects) (19F15) Higher symbols, Milnor (K)-theory (19D45)

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Cites Work

• Continuous homomorphisms between algebras of iterated Laurent series over a ring
• Tangent space to Milnor \(K\)-groups of rings
• The tame symbol
• Local Jacobian of a relative formal curve
• A higher-dimensional Contou-Carrère symbol: local theory
• Simple Proofs of Classical Explicit Reciprocity Laws on Curves Using Determinant Groupoids Over an Artinian Local Ring
• Explicit formula for the higher-dimensional Contou-Carrère symbol
• The two-dimensional Contou-Carrère symbol and reciprocity laws
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