Lichtenbaum-Tate duality for varieties over p-adic fields

DOI10.1515/crll.2004.075zbMath1059.14029OpenAlexW2170801021MaRDI QIDQ4827443

Joost van Hamel

Publication date: 17 November 2004

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2004.075

zbMATH Keywords

Picard groupPoincaré dualityBrauer groupvarieties over local fields

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Varieties over finite and local fields (11G25) Brauer groups of schemes (14F22) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (6)

Weil-étale cohomology of curves over \(p\)-adic fields ⋮ A higher-dimensional generalization of Lichtenbaum duality in terms of the Albanese map ⋮ Zero cycles on fibrations over a curve of arbitrary genus ⋮ On the elementary obstruction to the existence of rational points ⋮ The elementary obstruction and homogeneous spaces ⋮ On Albanese torsors and the elementary obstruction

Cites Work

• Unnamed Item
• The torsion of the group of 0-cycles modulo rational equivalence
• THE BRAUER–MANIN OBSTRUCTION FOR ZERO-CYCLES ON SEVERI–BRAUER FIBRATIONS OVER CURVES
• Duality of Albanese and Picard 1-motives

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