Asymptotically good towers and differential equations

Autor: Beelen, Peter, Bouw, Irene I.
Zdroj: Compositio Mathematica; November 2005, Vol. 141 Issue: 6 p1405-1424, 20p
Abstrakt: 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 p. We apply our results to towers of modular curves, and find new asymptotically good towers.
Databáze: Supplemental Index