On the \(\ell\)-adic Galois representations attached to nonsimple abelian varieties

DOI10.5802/aif.3035zbMath1390.11092arXiv1402.1478OpenAlexW2963348279MaRDI QIDQ332218

Davide Lombardo

Publication date: 27 October 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1478

zbMATH Keywords

abelian varietiesGalois representationsHodge groupMumford-Tate conjectureTate classes

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Galois representations (11F80) Arithmetic ground fields for abelian varieties (14K15)

Related Items (13)

Non-isogenous abelian varieties sharing the same division fields ⋮ A note on Tate's conjectures for abelian varieties ⋮ Recent progress on the Tate conjecture ⋮ Families of motives and the Mumford-Tate conjecture ⋮ On the generalised André-Pink-Zannier conjecture ⋮ ON THE ESSENTIAL TORSION FINITENESS OF ABELIAN VARIETIES OVER TORSION FIELDS ⋮ INTEGRAL AND ADELIC ASPECTS OF THE MUMFORD–TATE CONJECTURE ⋮ On the local-global principle for isogenies of abelian surfaces ⋮ Torsion for abelian varieties of type III ⋮ Cycles in the de Rham cohomology of abelian varieties over number fields ⋮ The prime divisors of the number of points on abelian varieties ⋮ The twisting Sato-Tate group of the curve \(y^2 = x^{8} - 14x^4 + 1\) ⋮ The Mumford-Tate conjecture implies the algebraic Sato-Tate conjecture of Banaszak and Kedlaya

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