English

Decomposition of jacobians of generalized Fermat curves

Algebraic Geometry 2025-11-21 v3

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)

Keywords

Cite

@article{arxiv.2303.18056,
  title  = {Decomposition of jacobians of generalized Fermat curves},
  author = {Gary Martinez-Nunez},
  journal= {arXiv preprint arXiv:2303.18056},
  year   = {2025}
}

Comments

21 pages