Decomposition of jacobians of generalized Fermat curves

Advances in Geometry 2026 Open access

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Authors: Gary Martinez-Nuñez
DOI: 10.1515/advgeom-2026-0001
Cited by: 0
References: 11

Abstract

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. We also compute the number of elliptic curves appearing in the decomposition for some of these curves.

Fields of Study & Subjects

Algebraic Geometry and Number Theory

Publication details

Journal / source
Advances in Geometry
Publisher
Walter de Gruyter GmbH
Volume
26
Issue
2
Pages
135–148
Publication date
21 March 2026
Language
EN