Tetragonal modular quotients $X_0^+(N)$

Fuente: arXiv
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Autor principal: Orlić, Petar
Formato: Preprint
Publicado: 2023
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author Orlić, Petar
author_facet Orlić, Petar
contents In this paper we determine all quotient curves $X_0^+(N)$ whose $\mathbb{Q}$ or $\mathbb{C}$-gonality is equal to $4$. As a consequence, we find several new cases when the modular curve $X_0(N)$ has $\mathbb{Q}$-gonality equal to $8$.
format Preprint
id arxiv_https___arxiv_org_abs_2311_09955
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Tetragonal modular quotients $X_0^+(N)$
Orlić, Petar
Number Theory
In this paper we determine all quotient curves $X_0^+(N)$ whose $\mathbb{Q}$ or $\mathbb{C}$-gonality is equal to $4$. As a consequence, we find several new cases when the modular curve $X_0(N)$ has $\mathbb{Q}$-gonality equal to $8$.
title Tetragonal modular quotients $X_0^+(N)$
topic Number Theory
url https://arxiv.org/abs/2311.09955