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

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. Author Keywords:Fermat curves

Jacobian variety