Non-Isomorphic Abelian Varieties with the Same Arithmetic

2025/02/04 by Jamie Bell, Bell, Jamie · 1 citation
Computer Science · #11G10 #14K02 #Cellular Automata and Applications #FOS: Mathematics #Number Theory (math.NT) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2502.02254

openalex publication_date 2025/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct two abelian varieties over ℚ which are not isomorphic, but have isomorphic Mordell--Weil groups over every number field, isomorphic Tate modules and equal values for several other invariants.

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