A higher-dimensional generalization of Lichtenbaum duality in terms of the Albanese map

DOI10.1112/S0010437X16007600zbMath1375.14073arXiv1512.02026MaRDI QIDQ5360241

Wataru Kai

Publication date: 28 September 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02026

zbMATH Keywords

Brauer groupsAlbanese map

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Brauer groups of schemes (14F22)

Cites Work

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• Théorie de la descente et algèbres d'Azumaya
• On the Albanese map for smooth quasi-projective varieties
• Unramified class field theory of arithmetical surfaces
• Rigidity for pseudo pretheories
• Duality theorems for curves over p-adic fields
• Abelian varieties over \(p\)-adic ground fields
• Zero-cycles on varieties over $p$-adic fields and Brauer groups
• Néron Models
• Bertini theorems for hypersurface sections containing a subscheme
• Lichtenbaum-Tate duality for varieties over p-adic fields
• On space filling curves and Albanese varieties.