Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve
Barańczuk S, Naskręcki B, Verzobio M. 2025. Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve. Journal of Number Theory. 279, 170–183.
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Author
Barańczuk, Stefan;
Naskręcki, Bartosz;
Verzobio, MatteoISTA 
Corresponding author has ISTA affiliation
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Abstract
Let A be an abelian variety defined over a number field K, E/K be an elliptic curve, and ϕ : A → Em be an isogeny defined over K. Let P ∈ A(K) be such that ϕ(P)=(Q1,..., Qm) with RankZ(⟨Q1,...,Qm⟩)=1. We will study a divisibility sequence related to the point P and show its relation with elliptic divisibility sequences.
Publishing Year
Date Published
2025-07-23
Journal Title
Journal of Number Theory
Publisher
Elsevier
Volume
279
Page
170-183
ISSN
IST-REx-ID
Cite this
Barańczuk S, Naskręcki B, Verzobio M. Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve. Journal of Number Theory. 2025;279:170-183. doi:10.1016/j.jnt.2025.06.001
Barańczuk, S., Naskręcki, B., & Verzobio, M. (2025). Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2025.06.001
Barańczuk, Stefan, Bartosz Naskręcki, and Matteo Verzobio. “Divisibility Sequences Related to Abelian Varieties Isogenous to a Power of an Elliptic Curve.” Journal of Number Theory. Elsevier, 2025. https://doi.org/10.1016/j.jnt.2025.06.001.
S. Barańczuk, B. Naskręcki, and M. Verzobio, “Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve,” Journal of Number Theory, vol. 279. Elsevier, pp. 170–183, 2025.
Barańczuk S, Naskręcki B, Verzobio M. 2025. Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve. Journal of Number Theory. 279, 170–183.
Barańczuk, Stefan, et al. “Divisibility Sequences Related to Abelian Varieties Isogenous to a Power of an Elliptic Curve.” Journal of Number Theory, vol. 279, Elsevier, 2025, pp. 170–83, doi:10.1016/j.jnt.2025.06.001.
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