Points of small order on three-dimensional abelian varieties; with an appendix by Yuri Zarhin

DOI10.1016/j.jalgebra.2010.03.032zbMath1198.14041OpenAlexW2054054904MaRDI QIDQ986531

John Cullinan

Publication date: 11 August 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.03.032

zbMATH Keywords

Abelian varietytorsion points

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15)

Related Items (3)

Unisingular representations in arithmetic and Lie theory ⋮ Fixed-point subgroups of \(\text{GL}_3({q})\) ⋮ Local-global questions for divisibility in commutative algebraic groups

Cites Work

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• A characterization of some locally finite simple groups of Lie type
• Galois properties of torsion points on abelian varieties
• Local-global properties of torsion points on three-dimensional abelian varieties
• On the equations defining Abelian varieties. I-III
• A computational approach to the 2-torsion structure of abelian threefolds
• The transitive groups of degree up to eleven⁺
• Polarizations on abelian varieties
• The classification of the finite simple groups

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