Kummer theory of abelian varieties and reductions of Mordell–Weil groups

DOI10.4064/aa110-1-6zbMath1041.11044arXivmath/0208118OpenAlexW2094477499MaRDI QIDQ4484470

Tom Weston

Publication date: 12 June 2003

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208118

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (16)

On a dynamical local-global principle in Mordell-Weil type groups ⋮ A counterexample to the local-global principle of linear dependence for abelian varieties ⋮ On reduction maps and support problem in \(K\)-theory and abelian varieties ⋮ On a generalization of the support problem of Erdős and its analogues for abelian varieties and \(K\)-theory ⋮ Commensurability in Mordell-Weil groups of abelian varieties and tori ⋮ On reduction maps and arithmetic dynamics of Mordell–Weil type groups ⋮ Blown-up toric surfaces with non-polyhedral effective cone ⋮ Effective results on linear dependence for elliptic curves ⋮ On a reduction map for Drinfeld modules ⋮ On a local to global principle in étale K-groups of curves ⋮ Linear dependence in Mordell-Weil groups ⋮ On the Support Problem for Drinfeld Modules ⋮ On a Hasse principle for Mordell-Weil groups ⋮ Linear relations and arithmetic on abelian schemes ⋮ Detecting linear dependence by reduction maps ⋮ Local to global principle for semiabelian varieties isogenous to the product of an abelian variety and a torus

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