Non-Isomorphic Abelian Varieties with the Same Arithmetic
Number Theory
2025-08-04 v3
Abstract
We construct two abelian varieties over which are not isomorphic, but have isomorphic Mordell--Weil groups over every number field, isomorphic Tate modules and equal values for several other invariants.
Cite
@article{arxiv.2502.02254,
title = {Non-Isomorphic Abelian Varieties with the Same Arithmetic},
author = {Jamie Bell},
journal= {arXiv preprint arXiv:2502.02254},
year = {2025}
}
Comments
Fixed proof of Lemma 8, other minor changes