Sur l'anneau de Chow d'une variété abélienne
type: Item
instance of: scholarly article
title: Sur l'anneau de Chow d'une variété abélienne
zbMATH Open document ID: 0566.14003
DOI: 10.1007/BF01472135
author: Arnaud Beauville
published in: Mathematische Annalen
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164077
review text: Let A be an abelian variety and CH(A) its Chow ring. In the \({\mathbb{Q}}\)-vector space \(CH(A)\otimes_{{\mathbb{Z}}}{\mathbb{Q}}\), the operators \(k^*\) (for \(k\in {\mathbb{Z}})\) can be simultaneously diagonalized. We describe geometrically some of the eigenspaces, and give an application to the study of algebraic cycles on an abelian threefold.
Mathematics Subject Classification ID: 14C05
Mathematics Subject Classification ID: 14K05
Mathematics Subject Classification ID: 14C99
zbMATH DE Number: 3902800
zbMATH Keywords: abelian variety
zbMATH Keywords: Chow ring
zbMATH Keywords: algebraic cycles on an abelian threefold
MaRDI profile type: Publication
cites work: Some elementary theorems about algebraic cycles on Abelian varieties
cites work: Remarks on Correspondences and Algebraic Cycles
cites work: C is not algebraically equivalent to \(C^-\) in its Jacobian
cites work: Q3313975
description: scientific article; zbMATH DE number 3902800