On arithmetic in Mordell-Weil groups

2009/04/18 by Grzegorz Banaszak, Banaszak, Grzegorz, Piotr Krason +1
Mathematics · #11G10 #14K15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G10 #msc:14K15

paper · pdf · doi:10.48550/arxiv.0904.2848

20 pages. Revision of introduction and bibliography

arxiv created 2010/08/05 · arxiv updated 2010/08/06

Abstract

In this paper we investigate linear dependence of points in Mordell-Weil groups of abelian varieties via reduction maps. In particular we try to determine the conditions for detecting linear dependence in Mordell-Weil groups via finite number of reductions.

Related

• Linear dependence in Mordell-Weil groups
• Detecting linear dependence by reduction maps
• On a Hasse principle for Mordell-Weil groups
• On Mordell-Weil group of isotrivial abelian varieties over function fields
• On Mordell-Weil groups of Jacobians over function fields