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arXiv · 1508.00401

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

Ruben A. Hidalgo·Rubi E. Rodriguez
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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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Ruben A. Hidalgo, Rubi E. Rodriguez. 2015-08-03. A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree. https://arxiv.org/abs/1508.00401

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