Unramified class field theory of arithmetical schemes

DOI10.2307/1971173zbMath0593.14001OpenAlexW1996872569MaRDI QIDQ1076088

Shuji Saito

Publication date: 1985

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971173

zbMATH Keywords

reciprocity theoremidele class groupsabelian fundamental groupBloch's exact sequenceclass field theory of arithmetical schemes

Mathematics Subject Classification ID

Class field theory (11R37) Global ground fields in algebraic geometry (14G25) Coverings in algebraic geometry (14E20) Schemes and morphisms (14A15)

Related Items (7)

Covering data and higher dimensional global class field theory ⋮ On Milnor K-groups attached to semi-Abelian varieties ⋮ Some observations on motivic cohomology of arithmetic schemes ⋮ A local to global principle for higher zero-cycles ⋮ Cohomological Hasse principle and motivic cohomology for arithmetic schemes ⋮ Tame class field theory for arithmetic schemes ⋮ Galois symbol maps for abelian varieties over a $p$-adic field

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