Heights and isogenies of Drinfeld modules
Number Theory
2020-01-24 v2
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.
Keywords
Cite
@article{arxiv.1908.03485,
title = {Heights and isogenies of Drinfeld modules},
author = {Florian Breuer and Fabien Pazuki and Mahefason Heriniaina Razafinjatovo},
journal= {arXiv preprint arXiv:1908.03485},
year = {2020}
}
Comments
Acta Arithmetica