Finiteness theorems in the class field theory of varieties over local fields.

DOI10.1016/S0022-314X(03)00018-0zbMath1086.14018MaRDI QIDQ1399675

Teruyoshi Yoshida

Publication date: 30 July 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

curves over local fieldsunramified class field theory

Mathematics Subject Classification ID

Geometric class field theory (11G45) Local ground fields in algebraic geometry (14G20) Arithmetic ground fields for abelian varieties (14K15) Homotopy theory and fundamental groups in algebraic geometry (14F35) Generalized class field theory ((K)-theoretic aspects) (19F05)

Related Items (9)

Abelian geometric fundamental groups for curves over a \(p\)-adic field ⋮ On integral class field theory for varieties over \(p\)-adic fields ⋮ Milnor \(K\)-groups attached to elliptic curves over a \(p\)-adic field ⋮ On the structure of étale motivic cohomology ⋮ Class field theory for a product of curves over a local field ⋮ Local duality for 2-dimensional local ring ⋮ Class field theory for open curves over local fields ⋮ A Tate duality theorem for local Galois symbols. II. The semi-abelian case ⋮ Non-divisible cycles on surfaces over local fields

Cites Work

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• Class field theory for curves over local fields
• Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)
• Homomorphisms of Barsotti-Tate groups and crystals in positive characteristic. -- Erratum
• Algebraic K-theory and classfield theory for arithmetic surfaces
• Unramified class field theory of arithmetical surfaces
• Théorie de Hodge. III
• Quelques Proprietes des Varietes Abeliennes en Caracteristique p

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