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Good families of Drinfeld modular curves

Published 26 Aug 2016 in math.NT | (1608.07422v1)

Abstract: In this paper we investigate examples of good and optimal Drinfeld modular towers of function fields. Surprisingly, the optimality of these towers has not been investigated in full detail in the literature. We also give an algorithmic approach on how to obtain explicit defining equations for some of these towers and in particular give a new explicit example of an optimal tower over a quadratic finite field.

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