Detecting linear dependence on a simple abelian variety

2010/01/01 by Peter Jossen, Jossen, Peter
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #math.AG #math.NT #msc:11G05 #msc:11G10 #msc:14K15

paper · pdf · doi:10.48550/arxiv.1003.2109

24 pages

arxiv created 2010/03/10 · arxiv updated 2010/03/11

Abstract

Let A be a geometrically simple abelian variety over a number field k, let X be a subgroup of A(k) and let P be an element of A(k). We prove that if P belongs to X modulo almost all primes of k then P already belongs to X.

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