Some local-global applications of Kummer theory

DOI10.1007/s00229-003-0356-6zbMath1089.11031OpenAlexW1979162775MaRDI QIDQ1396522

Emmanuel Kowalski

Publication date: 2 July 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-003-0356-6

zbMATH Keywords

Kummer theorylocal-global principlesupport problem

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (19)

Non-isogenous abelian varieties sharing the same division fields ⋮ On a dynamical local-global principle in Mordell-Weil type groups ⋮ A counterexample to the local-global principle of linear dependence for abelian varieties ⋮ Artin's conjecture for Drinfeld modules ⋮ On reduction maps and arithmetic dynamics of Mordell–Weil type groups ⋮ Abelian varieties with prescribed embedding and full embedding degrees ⋮ The support problem for abelian varieties. ⋮ Products of hyperelliptic Jacobians with maximal Galois image ⋮ Effective results on linear dependence for elliptic curves ⋮ On the structure of locally potentially equivalent Galois representations ⋮ A prime analogue Erdős-Pomerance result for Drinfeld modules with arbitrary endomorphism rings ⋮ On a reduction map for Drinfeld modules ⋮ Prescribing valuations of the order of a point in the reductions of abelian varieties and tori ⋮ The prime divisors of the number of points on abelian varieties ⋮ REDUCTIONS OF POINTS ON ALGEBRAIC GROUPS ⋮ Kummer theory for norm algebraic tori ⋮ On a local-global principle for the divisibility of a rational point by a positive integer ⋮ 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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