Heights and isogenies of Drinfeld modules

Published 9 Aug 2019 in math.NT | (1908.03485v2)

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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