Tetragonal modular quotients $X_0^{+d}(N)$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929688373362688 |
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| author | Orlić, Petar |
| author_facet | Orlić, Petar |
| contents | Let $N$ be a positive integer. For every $d | N$ such that $(d, N/d) = 1$ there exists an Atkin-Lehner involution $w_d$ of the modular curve $X_0(N)$. In this paper we determine all quotient curves $X_0(N)/w_d$ whose $\mathbb{Q}$-gonality is equal to $4$ and all quotient curves $X_0(N)/w_d$ whose $\mathbb{C}$-gonality is equal to $4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08014 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tetragonal modular quotients $X_0^{+d}(N)$ Orlić, Petar Number Theory Let $N$ be a positive integer. For every $d | N$ such that $(d, N/d) = 1$ there exists an Atkin-Lehner involution $w_d$ of the modular curve $X_0(N)$. In this paper we determine all quotient curves $X_0(N)/w_d$ whose $\mathbb{Q}$-gonality is equal to $4$ and all quotient curves $X_0(N)/w_d$ whose $\mathbb{C}$-gonality is equal to $4$. |
| title | Tetragonal modular quotients $X_0^{+d}(N)$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2404.08014 |