Tangent space to Milnor \(K\)-groups of rings

DOI10.1134/S0081543815060036zbMath1334.19003arXiv1505.03780MaRDI QIDQ902048

D. V. Osipov, Sergey O. Gorchinskiy

Publication date: 7 January 2016

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

Full work available at URL: https://arxiv.org/abs/1505.03780

zbMATH Keywords

symbolsKahler differentialsMilnor K-theory

Mathematics Subject Classification ID

Higher symbols, Milnor (K)-theory (19D45)

Related Items (6)

The higher-dimensional Contou-Carrère symbol and commutative group schemes ⋮ Relative Milnor $K$-groups and differential forms of split nilpotent extensions ⋮ Continuous homomorphisms between algebras of iterated Laurent series over a ring ⋮ Higher-dimensional Contou-Carrère symbol and continuous automorphisms ⋮ An explicit formula for the norm in the theory of fields of norms ⋮ Volume and symplectic structure for \(\ell\)-adic local systems

Cites Work

• \(K_2\) of localisations of local rings
• Relative algebraic K-theory and cyclic homology
• The Gersten conjecture for Milnor \(K\)-theory
• Local Jacobian of a relative formal curve
• A higher-dimensional Contou-Carrère symbol: local theory
• The $K_2$ of rings with many units
• HOMOLOGY OF THE FULL LINEAR GROUP OVER A LOCAL RING, AND MILNOR'SK-THEORY
• Explicit formula for the higher-dimensional Contou-Carrère symbol
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