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arXiv · 1908.03485

Heights and isogenies of Drinfeld modules

Florian Breuer·Fabien Pazuki·Mahefason Heriniaina Razafinjatovo
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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.

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Florian Breuer, Fabien Pazuki, Mahefason Heriniaina Razafinjatovo. 2020-01-23. Heights and isogenies of Drinfeld modules. https://arxiv.org/abs/1908.03485

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