English

On arithmetic in Mordell-Weil groups

Number Theory 2010-08-06 v3 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.0904.2848,
  title  = {On arithmetic in Mordell-Weil groups},
  author = {Grzegorz Banaszak and Piotr Krason},
  journal= {arXiv preprint arXiv:0904.2848},
  year   = {2010}
}

Comments

20 pages. Revision of introduction and bibliography

R2 v1 2026-06-21T12:52:47.891Z