Translation by torsion points and rational equivalence of 0-cycles on Abelian varieties
type: Item
instance of: scholarly article
title: Translation by torsion points and rational equivalence of 0-cycles on Abelian varieties
zbMATH Open document ID: 0665.14002
DOI: 10.1216/RMJ-1988-18-1-147
author: Mark Huibregtse
published in: Rocky Mountain Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Let A be an abelian variety and c be a point of finite order. It is proved that the cycle \(c^*(a)\) is rationally equivalent to a for any algebraic cycle a on A which is algebraically \(equivalent\quad to\quad 0.\) Here \(c^*\) is a translation on the \(point\quad a\). There are applications to a description of the set of effective cycles equivalent to a given one.
Mathematics Subject Classification ID: 14C15
Mathematics Subject Classification ID: 14C25
Mathematics Subject Classification ID: 14K99
zbMATH DE Number: 4087817
zbMATH Keywords: rational equivalence
zbMATH Keywords: abelian variety
zbMATH Keywords: algebraic cycle
reviewed by: A. N. Parshin
MaRDI profile type: Publication
full work available at URL: rmj-1988-18-1-147
OpenAlex ID: W2028200093
description: scientific article; zbMATH DE number 4087817