The exponential homomorphisms for the Milnor K-groups and an explicit reciprocity law

DOI10.1515/crll.1998.051zbMath0909.19001OpenAlexW1982050436MaRDI QIDQ3842583

Masato Kurihara

Publication date: 30 March 1999

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.1998.051

zbMATH Keywords

Hilbert symbolexponential homomorphismMilnor-\(K\)-group

Mathematics Subject Classification ID

Symbols and arithmetic ((K)-theoretic aspects) (19F15) Higher symbols, Milnor (K)-theory (19D45) (K)-theory of local fields (11S70)

Related Items (11)

Continuity of the norm map on MilnorK-theory ⋮ The norm residue symbol for higher local fields ⋮ Explicit reciprocity laws for higher local fields ⋮ On ramification in transcendental extensions of local fields ⋮ REFINED SWAN CONDUCTORS OF ONE-DIMENSIONAL GALOIS REPRESENTATIONS ⋮ Kato's residue homomorphisms and reciprocity laws on arithmetic surfaces ⋮ \(p\)-adic deformation of algebraic cycle classes ⋮ Formal Chow groups, \(p\)-divisible groups and syntomic cohomology. ⋮ On the structure of Milnor \(K\)-groups of certain complete discrete valuation fields ⋮ The exponential homomorphism for the second syntomic cohomology ⋮ The theory of Coleman power series for 𝐾₂

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