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A framework for Tate modules of abelian varieties under isogeny

Sarah Frei, Katrina Honigs and John Voight

Vol. 5 (2026), No. 1, 113–140
Abstract

We explain the linear algebraic framework provided by Tate modules of isogenous abelian varieties in a category-theoretic way.

Keywords
abelian varieties, Tate modules, Galois representations
Mathematical Subject Classification
Primary: 11F80, 11G10
Secondary: 11G05, 14K15
Milestones
Received: 27 October 2024
Revised: 14 July 2025
Accepted: 21 July 2025
Published: 21 April 2026
Authors
Sarah Frei
Department of Mathematics
Rice University
Houston, TX
United States
Katrina Honigs
Department of Mathematics
Simon Fraser University
Burnaby, BC
Canada
John Voight
School of Mathematics and Statistics
University of Sydney
Sydney, NSW
Australia