English

Good families of Drinfeld modular curves

Number Theory 2016-08-29 v1

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.

Keywords

Cite

@article{arxiv.1608.07422,
  title  = {Good families of Drinfeld modular curves},
  author = {Alp Bassa and Peter Beelen and Nhut Nguyen},
  journal= {arXiv preprint arXiv:1608.07422},
  year   = {2016}
}