Variation of height in an isogeny class over a function field

Documenta Mathematica 2026 Open access

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Authors: Richard Griffon, Samuel Le Fourn, Fabien Pazuki
DOI: 10.4171/dm/1094
Cited by: 0

Abstract

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 characteristic). We also prove a parallelogram inequality for abelian varieties in this context, and deduce corollaries of these results.

Fields of Study & Subjects

Advanced Mathematical Modeling in Engineering

Publication details

Journal / source
Documenta Mathematica
Publication date
30 July 2026
Language
EN