On a Hasse principle for Mordell-Weil groups

2007/12/21 by Grzegorz Banaszak, Banaszak, Grzegorz
Mathematics · #11G10 #14K15 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #math.AG #math.NT #msc:11G10 #msc:14K15

paper · pdf · doi:10.48550/arxiv.0712.3704

First draft written on October 29, 2007. Submitted for publication

openalex publication_date 2007/12/21 · arxiv created 2008/01/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we establish a Hasse principle concerning the linear dependence over \Z of nontorsion points in the Mordell-Weil group of an abelian variety over a number field.

Citations

• Good Reduction of Abelian Varieties

Related

• Linear dependence in Mordell-Weil groups
• On the arithmetic of polynomials with coefficients in Mordell-Weil type groups
• On arithmetic in Mordell-Weil groups
• A Mordell-Weil theorem for abelian varieties over fields generated by torsion points
• Detecting linear dependence by reduction maps