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Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve

Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve

来源:Arxiv_logoArxiv
英文摘要

Let $A$ be an abelian variety defined over a number field $K$, $E/K$ be an elliptic curve, and $ϕ:A\to E^m$ be an isogeny defined over $K$. Let $P\in A(K)$ be such that $ϕ(P)=(Q_1,\dots, Q_m)$ with $\text{Rank}_\mathbb{Z}(\langle Q_1,\dots, Q_m\rangle)=1$. We will study a divisibility sequence related to the point $P$ and show its relation with elliptic divisibility sequences.

Stefan Barańczuk、Bartosz Naskręcki、Matteo Verzobio

10.1016/j.jnt.2025.06.001

数学

Stefan Barańczuk,Bartosz Naskręcki,Matteo Verzobio.Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve[EB/OL].(2025-07-24)[2025-08-05].https://arxiv.org/abs/2309.09699.点此复制

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