paper

Decomposition of jacobians of generalized Fermat curves

arXiv:2303.18056 · doi:10.1515/advgeom-2026-0001

Abstract

We give a decomposition of the jacobian variety of a generalized Fermat curve. This extends a result obtained by Auffarth, Lucchini-Arteche and Rojas on Humbert-Edge curves, which are a particular case of generalized Fermat curves. (A counting on the number of factor has been added)

21 pages