Asymptotically good towers and differential equations
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
This paper concerns towers of curves over a finite field with many rational points, following Garcia--Stichtenoth and Elkies. We present a new method to produce such towers. A key ingredient is the study of algebraic solutions to Fuchsian differential equations modulo . We apply our results to towers of modular curves, and find new asymptotically good towers.
Cite
@article{arxiv.math/0405449,
title = {Asymptotically good towers and differential equations},
author = {Peter Beelen and Irene I. Bouw},
journal= {arXiv preprint arXiv:math/0405449},
year = {2007}
}