On the Jacobian variety of the Accola-Maclachlan curve of genus four

Autor:	Auffarth, Robert, Reyes-Carocca, Sebastián, Rojas, Anita M.
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry 14H40 14H37 14H45 11G10
Druh dokumentu:	Working Paper
Popis:	In this short note, we study the Jacobian variety of the Accola-Maclachlan curve of genus four and obtain explicitly its Poincar\'e isogeny decomposition. More precisely, we show that its Jacobian variety is isomorphic to the product of two abelian surfaces that are simple, and provide explicitly a Riemann matrix for each one of the involved abelian surfaces Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.13277 Zobrazit plný text záznamu View this record from Arxiv