The constant of the support problem for abelian varieties

DOI10.1016/j.jnt.2013.01.013zbMath1318.14041arXiv1008.3719OpenAlexW2085590317MaRDI QIDQ740837

Antonella Perucca, Jeroen Demeyer

Publication date: 9 September 2014

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

Full work available at URL: https://arxiv.org/abs/1008.3719

zbMATH Keywords

abelian varietiesendomorphismtorimaximal ordersupport problem

Mathematics Subject Classification ID

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

Related Items (1)

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
• Prescribing valuations of the order of a point in the reductions of abelian varieties and tori
• Two variants of the support problem for products of abelian varieties and tori
• The support problem for abelian varieties.
• Reduction of homomorphisms mod \(p\) and algebraicity.
• Compatible systems of mod \(p\) Galois representations and Hecke characters
• Specialization of endomorphism rings of abelian varieties
• Approximation Theory and the Rank of Abelian Varieties Over Large Algebraic Fields

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