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22 March 2025
 
  » arxiv » 1508.0401

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A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree
Ruben A. Hidalgo ; Rubi E. Rodriguez ;
Date 3 Aug 2015
AbstractRecently, 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.
Source arXiv, 1508.0401
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