Petar Orlić

collaborators

3 papers

math.NT2025

Tetragonal modular quotients of $X_{0} (N)$

Petar Orlić

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 $X_{0} (N)$ . Let $B (N)$ be the group of all…

math.NT2025

Tetragonal modular quotients $X_{0}^{*} (N)$

Petar Orlić

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 $X_{0} (N)$ . The curve $X_{0}^{*} (N)$ is a quot…

math.NT2025

Intermediate modular curves with infinitely many quartic points

Maarten Derickx, Petar Orlić

For every group ${\pm 1} \subseteq Δ \subseteq (Z / N Z)^{\times}$ , there exists an intermediate modular curve $X_{Δ} (N)$ . In this paper we determine all curves $X_{Δ} (N)$ wi…

Tetragonal modular quotients of X0​(N)

Tetragonal modular quotients X0∗​(N)

Intermediate modular curves with infinitely many quartic points

Tetragonal modular quotients of $X_{0} (N)$

Tetragonal modular quotients $X_{0}^{*} (N)$