The arithmetic of the Chow group of zero-cycles
type: Item
instance of: scholarly article
title: The arithmetic of the Chow group of zero-cycles
zbMATH Open document ID: 0870.14002
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 1996-03-24T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/230260
full work available at URL: jtnb7-1.html
review text: This article is a comprehensive survey dealing mainly with \(A_0(X)\), the group of zero cycles of degree zero on a smooth projective variety \(X\) modulo rational equivalence. \(X\) is defined over a number field or a local field. The theme of the survey is a pair of conjectures in the first section relating the quotient of \(A_0(X)\) by its maximal divisible subgroup to the Brauer group of \(X\).
Mathematics Subject Classification ID: 14C25
Mathematics Subject Classification ID: 14C05
Mathematics Subject Classification ID: 14F22
zbMATH DE Number: 858014
zbMATH Keywords: zero cycles of degree zero
zbMATH Keywords: rational equivalence
zbMATH Keywords: Brauer group
author: Jean-Louis Colliot-Thélène
reviewed by: G. Horrocks
MaRDI profile type: Publication
OpenAlex ID: W2323873015
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DOI: 10.5802/JTNB.130
description: scientific article; zbMATH DE number 858014