The Tate module of a simple abelian variety of type IV

zbMath1483.11121MaRDI QIDQ2075845

Grzegorz Banaszak, Aleksandra Kaim-Garnek

Publication date: 16 February 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2021/27-47.html

zbMATH Keywords

abelian varietyTate moduleGalois \(l\)-adic representation

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Galois representations (11F80) Finite-dimensional division rings (16K20)

Cites Work

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• The Mumford-Tate conjecture for the product of an abelian surface and a \(K3\) surface
• On the image of Galois \(l\)-adic representations for abelian varieties of type III
• Finiteness theorems for abelian varieties over number fields.
• Cyclic components of quotients of abelian varieties mod \(p\)
• Torsion for abelian varieties of type III
• Asymptotic lower bound of class numbers along a Galois representation
• Algebra. Volume II: Fields with structure, algebras and advanced topics. Transl. from the German by Silvio Levy. With the collaboration of the translator
• Titchmarsh divisor problem for abelian varieties of types I, II, III, and IV
• Motivic Serre group, algebraic Sato-Tate group and Sato-Tate conjecture
• On the l-adic representations attached to simple abelian varieties of type IV
• Cycles in the de Rham cohomology of abelian varieties over number fields
• An algebraic Sato-Tate group and Sato-Tate conjecture

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