Detecting linear dependence on an abelian variety via reduction maps

DOI10.4171/CMH/287zbMath1303.11069arXiv1003.2109OpenAlexW2053148313MaRDI QIDQ1955662

Peter Jossen

Publication date: 17 June 2013

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2109

zbMATH Keywords

abelian varietyMordell-Weil group1-motivelocal-global principle

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15)

Related Items (9)

On a dynamical local-global principle in Mordell-Weil type groups ⋮ Commensurability in Mordell-Weil groups of abelian varieties and tori ⋮ On reduction maps and arithmetic dynamics of Mordell–Weil type groups ⋮ On the Mumford-Tate conjecture for 1-motives ⋮ Effective results on linear dependence for elliptic curves ⋮ On a reduction map for Drinfeld modules ⋮ On multiple base discrete logarithm problem in $\mathbb {G}_m^{n}$ and $E_d^{n}$ ⋮ Linear relations and arithmetic on abelian schemes ⋮ Local to global principle for semiabelian varieties isogenous to the product of an abelian variety and a torus

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