A generalization of local class field theory by using K-groups. II

DOI10.3792/pjaa.54.250zbMath0411.12013OpenAlexW4243593546MaRDI QIDQ1259629

Kazuya Kato

Publication date: 1978

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.54.250

zbMATH Keywords

dualitygeneralization of local class field theoryKn-groupmaximum abelian extension

Mathematics Subject Classification ID

Class field theory; (p)-adic formal groups (11S31) (K)-theory of local fields (11S70)

Related Items (8)

Geometric and analytic structures on the higher adèles ⋮ Remarks on classical number-theoretic aspects of Milnor–Witt K-theory ⋮ The norm residue symbol for higher local fields ⋮ Explicit reciprocity laws for higher local fields ⋮ A generalization of local class field theory by using K-groups. I ⋮ MOTIVIC COHOMOLOGY OF TWISTED FLAG VARIETIES ⋮ First and second K-groups of an elliptic curve over a global field of positive characteristic ⋮ On the Grothendieck rings of equivariant fusion categories

Cites Work

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• A generalization of local class field theory by using K-groups. I
• Algebraic K-theory and crystalline cohomology
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. Seconde édition.
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Higher algebraic K-theory: I
• $K$-théorie algébrique et représentations de groupes

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