Detecting linear dependence by reduction maps

DOI10.1016/j.jnt.2005.01.008zbMath1089.11030arXivmath/0407249OpenAlexW2008282036MaRDI QIDQ2581377

Piotr Krasoń, Grzegorz Banaszak, Wojciech Gajda

Publication date: 10 January 2006

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407249

zbMATH Keywords

abelian varietyelliptic curveKummer theoryMordell-Weil groupDwyer-Friedlander mapshigher \(K\)-group

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15) (K)-theory in number theory (19F99)

Related Items

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, Torsion of algebraic groups and iterate extensions associated with Lubin-Tate formal groups, On reduction maps and arithmetic dynamics of Mordell–Weil type groups, Some remarks on the reduction map for Drinfeld modules, On class numbers of division fields of abelian varieties, Effective results on linear dependence for elliptic curves, On reduction maps for the étale and Quillen K-theory of curves and applications, On a reduction map for Drinfeld modules, On a local to global principle in étale K-groups of curves, Prescribing valuations of the order of a point in the reductions of abelian varieties and tori, Linear dependence in Mordell-Weil groups, On a Hasse principle for Mordell-Weil groups, Kummer theory for number fields and the reductions of algebraic numbers, Linear relations and arithmetic on abelian schemes, Local-global questions for divisibility in commutative algebraic groups, Local to global principle for semiabelian varieties isogenous to the product of an abelian variety and a torus

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