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
Let $A$ be an abelian variety defined over a number field $K$, $E/K$ be an elliptic curve, and $Ï:A\to E^m$ be an isogeny defined over $K$. Let $P\in A(K)$ be such that $Ï(P)=(Q_1,\dots, Q_m)$ 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
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
评论