On the torsion of Drinfeld modules of rank two

2007/08/30 by Ambrus Pál, Pal, Ambrus
Mathematics · #11G09 #11G18 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.0708.4243

openalex publication_date 2007/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study rational points and torsion points on Drinfeld modular curves defined over rational function fields. As a consequence we derive a conjecture of Schweizer describing completely the torsion of Drinfeld modules of rank two over \Bbb F₂(T) implying Poonen's uniform boundedness conjecture in this particular case.

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