Heights and isogenies of Drinfeld modules
Volume 197 / 2021
Acta Arithmetica 197 (2021), 111-128
MSC: Primary 11G09; Secondary 11G50, 14G17, 14G40.
DOI: 10.4064/aa191029-8-7
Published online: 5 October 2020
Abstract
We provide explicit bounds on the difference of heights of isogenous Drinfeld modules. We derive a finiteness result in isogeny classes. In the rank 2 case, we also obtain an explicit upper bound on the size of the coefficients of modular polynomials attached to Drinfeld modules.
