A filtration on the higher Chow group of zero cycles on an abelian variety

DOI10.2748/tmj.20191030zbMath1473.14013arXiv1901.04590OpenAlexW3115920314MaRDI QIDQ2234530

Buntaro Kakinoki

Publication date: 19 October 2021

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04590

zbMATH Keywords

reciprocity mapétale cycle mapGazaki type filtrationhigher Chow groups of zero cyclesSomekakawa type \(K\)-group

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Local ground fields in algebraic geometry (14G20) Algebraic cycles (14C25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

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• Motivic homology of semiabelian varieties
• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• Class field theory for a product of curves over a local field
• Sur l'anneau de Chow d'une variété abélienne
• Class field theory for curves over local fields
• Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory
• Some elementary theorems about algebraic cycles on Abelian varieties
• Milnor \(K\)-theory of smooth varieties
• Higher \(l\)-adic Abel-Jacobi mappings and filtrations on Chow groups
• Voevodsky's motives and Weil reciprocity
• Component groups of Néron models via rigid uniformization
• On Chow and Brauer groups of a product of Mumford curves
• On Milnor K-groups attached to semi-Abelian varieties
• On a filtration of for an abelian variety

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