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Explicit towers of Drinfeld modular curves

2000/05/14 by Noam D. Elkies, Elkies, Noam D. · 1 citation
Mathematics · #11G09 (Primary) #11G18 #14G50 #94B27 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Number Theory (math.NT) #math.AG #math.NT #msc:11G09 #msc:11G18 #msc:14G50 #msc:94B27

paper · pdf · doi:10.48550/arxiv.math/0005140

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

openalex publication_date 2000/05/14 · arxiv created 2000/05/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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