A parallelogram height inequality for Drinfeld modules
Number Theory
2025-12-11 v1
Abstract
We prove inequalities relating the Taguchi heights, respectively the graded heights, of four Drinfeld modules arranged in a ``parallelogram of isogenies''. This inequality is the analogue for Drinfeld modules of the parallelogram inequality of R\'emond (2022) for abelian varieties over number fields and of Griffon--Le Fourn--Pazuki (2025) for abelian varieties over function fields.
Keywords
Cite
@article{arxiv.2512.09526,
title = {A parallelogram height inequality for Drinfeld modules},
author = {Liam Baker and Richard Griffon and Fabien Pazuki},
journal= {arXiv preprint arXiv:2512.09526},
year = {2025}
}
Comments
17 pages. Comments are welcome!