Cyclic components of quotients of abelian varieties mod \(p\)

DOI10.1016/j.jnt.2018.08.005zbMath1444.11128OpenAlexW2892334447MaRDI QIDQ1634420

Cristian Virdol

Publication date: 18 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.08.005

zbMATH Keywords

abelian varietiesMordell-Weil groupcyclicityquotients

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Complex multiplication and moduli of abelian varieties (11G15)

Related Items (1)

The Tate module of a simple abelian variety of type IV

Cites Work

• Unnamed Item
• Cyclicity of elliptic curves modulo \(p\) and elliptic curve analogues of Linnik's problem
• Cyclic components of abelian varieties (\(\operatorname{mod} \wp\))
• Cyclicity and generation of points mod \(p\) on elliptic curves
• Reductions of points on elliptic curves
• On the image of Galois \(l\)-adic representations for abelian varieties of type III
• Quelques applications du théorème de densité de Chebotarev
• On the image of \(l\)-adic Galois representations for abelian varieties of type I and II
• Artin's conjecture for abelian varieties
• Titchmarsh divisor problem for abelian varieties of types I, II, III, and IV
• A GEOMETRIC VARIANT OF TITCHMARSH DIVISOR PROBLEM
• Principal Homogeneous Spaces Over Abelian Varieties
• The Arithmetic of Elliptic Curves

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