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math.NT2025
A parallelogram height inequality for Drinfeld modules
Liam Baker, Richard Griffon, Fabien Pazuki
We prove an inequality relating the Taguchi heights of four Drinfeld modules arranged in a ``parallelogram of isogenies''. This inequality is the analogue for Drinfeld modules of t…
math.NT2025
Variation of height in an isogeny class over a function field
Richard Griffon, Samuel Le Fourn, Fabien Pazuki
We give optimal estimates on the variation of the differential and modular heights within an isogeny class of abelian varieties defined over the function field of a curve (in any c…