Explicit towers of Drinfeld modular curves
Number Theory
2007-05-23 v2 Algebraic Geometry
Abstract
We give explicit equations for the simplest towers of Drinfeld modular curves over any finite field, and observe that they coincide with the asymptotically optimal towers of curves constructed by Garcia and Stichtenoth.
Cite
@article{arxiv.math/0005140,
title = {Explicit towers of Drinfeld modular curves},
author = {Noam D. Elkies},
journal= {arXiv preprint arXiv:math/0005140},
year = {2007}
}
Comments
10 pages. For mini-symposium on "curves over finite fields and codes" at the 3rd European Congress in Barcelona 7/2000 Revised to correct minor typographical and grammatical errors