Support problem for the intermediate Jacobians of \(l\)-adic representations.

DOI10.1016/S0022-314X(02)00122-1zbMath1088.11040arXivmath/0212420OpenAlexW2019476646MaRDI QIDQ1394913

Piotr Krasoń, Wojciech Gajda, Grzegorz Banaszak

Publication date: 25 June 2003

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

Full work available at URL: https://arxiv.org/abs/math/0212420

zbMATH Keywords

abelian variety\(K\)-theoryintermediate Jacobians\(\l\)-adic representations

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Complex multiplication and moduli of abelian varieties (11G15) Galois representations (11F80) Galois cohomology (11R34)

Related Items

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 Galois representations for abelian varieties with complex and real multiplications., On reduction maps and arithmetic dynamics of Mordell–Weil type groups, 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, Two variants of the support problem for products of abelian varieties and tori, On a Hasse principle for Mordell-Weil groups, k-invariants for K-theory of curves over global fields, Linear relations and arithmetic on abelian schemes, Local-global questions for divisibility in commutative algebraic groups, Detecting linear dependence by reduction maps, Note on linear relations in Galois cohomology and étale K-theory of curves, Local to global principle for semiabelian varieties isogenous to the product of an abelian variety and a torus

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