Elliptic curves over the perfect closure of a function field

2005/05/24 by Dragos Ghioca, Ghioca, Dragos
Mathematics · #11G50 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G50

paper · pdf · doi:10.48550/arxiv.math/0505511

arxiv created 2005/05/24 · arxiv updated 2009/12/01

Abstract

We prove that the group of rational points of a non-isotrivial elliptic curve defined over the perfect closure of a function field in one variable over a finite field is finiteley generated.

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