Two variants of the support problem for products of abelian varieties and tori

DOI10.1016/j.jnt.2009.01.005zbMath1230.11077arXiv0712.2815OpenAlexW2045718032MaRDI QIDQ1025894

Antonella Perucca

Publication date: 23 June 2009

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

Full work available at URL: https://arxiv.org/abs/0712.2815

zbMATH Keywords

abelian varietiessupport problem

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15)

Related Items (5)

On a generalization of the support problem of Erdős and its analogues for abelian varieties and \(K\)-theory ⋮ The constant of the support problem for abelian varieties ⋮ THE MULTILINEAR SUPPORT PROBLEM FOR PRODUCTS OF ABELIAN VARIETIES AND TORI ⋮ Linear relations and arithmetic on abelian schemes ⋮ Local-global questions for divisibility in commutative algebraic groups

Cites Work

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• A refined counter-example to the support conjecture for abelian varieties
• On reduction maps and support problem in \(K\)-theory and abelian varieties
• Prescribing valuations of the order of a point in the reductions of abelian varieties and tori
• The support problem and its elliptic analogue
• Support problem for the intermediate Jacobians of \(l\)-adic representations.
• The support problem for abelian varieties.
• Reduction of homomorphisms mod \(p\) and algebraicity.
• Compatible systems of mod \(p\) Galois representations and Hecke characters
• Division points on semi-abelian varieties

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