scientific article

zbMath0544.12010MaRDI QIDQ3333146

Kazuya Kato

Publication date: 1983

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

non-Archimedean local fieldclass field theorynorm mapMilnor K-theoryAbelianised fundamental group of an arithmetic schemearithmetic fieldfields of higher dimensionGalois group of the maximal Abelian extension

Mathematics Subject Classification ID

Class field theory (11R37) Arithmetic ground fields for abelian varieties (14K15) Coverings in algebraic geometry (14E20) (K)-theory of global fields (11R70) Transcendental field extensions (12F20) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Class field theory; (p)-adic formal groups (11S31) (K)-theory of local fields (11S70) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (5)

Geometric and analytic structures on the higher adèles ⋮ Le théorème de Tate-Poitou pour les corps de fonctions des courbes définies sur les corps locaux de dimension N. (The Tate-Poitou theorem for function fields of curves defined over local fields of dimension N) ⋮ The third homology of \(\mathrm{SL}_2\) of fields with discrete valuation ⋮ Degeneration of surfaces and Hasse principle ⋮ A generalized Contou-Carrère symbol and its reciprocity laws in higher dimensions

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