On Chow and Brauer groups of a product of Mumford curves

DOI10.1007/s00208-005-0675-xzbMath1087.14006OpenAlexW2002883165MaRDI QIDQ2574154

Takao Yamazaki

Publication date: 18 November 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-005-0675-x

zbMATH Keywords

Galois cohomologyMumford curvesemi-abelian varietyBrauer groupChow groupcycle mapMilnor K-groupTate elliptic curveBrauer-Manin pairing

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Varieties over finite and local fields (11G25) (Equivariant) Chow groups and rings; motives (14C15) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items (10)

A finer Tate duality theorem for local Galois symbols ⋮ Divisibility results for zero-cycles ⋮ Abelian geometric fundamental groups for curves over a \(p\)-adic field ⋮ A filtration on the higher Chow group of zero cycles on an abelian variety ⋮ Milnor \(K\)-groups attached to elliptic curves over a \(p\)-adic field ⋮ Class field theory for a product of curves over a local field ⋮ A Tate duality theorem for local Galois symbols. II. The semi-abelian case ⋮ The Brauer–Manin pairing, class field theory, and motivic homology ⋮ On a filtration of for an abelian variety ⋮ Galois symbol maps for abelian varieties over a $p$-adic field

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