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A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree

2015/08/03 by Ruben A. Hidalgo, Hidalgo, Ruben A., Rubi E. Rodriguez +1
Mathematics · #14H30 #14H40 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H30 #msc:14H40

paper · pdf · doi:10.48550/arxiv.1508.00401

To appear in Archiv der Mathematik

arxiv created 2015/08/03 · arxiv updated 2015/08/04

Abstract

Recently, Barraza-Rojas have described the action of the full automorphisms group on the Fermat curve of degree p, for p a prime integer, and obtained the group algebra decomposition of the corresponding Jacobian variety. In this short note we observe that the factors in such a decomposition are given by the Jacobian varieties of certain p-gonal curves.

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