Petar Orlić

collaborators

6 papers

math.NT2026

Modular curves $X_{0} (N)$ of density degree $5$

Maarten Derickx, Wontae Hwang, Daeyeol Jeon +1

We determine all modular curves $X_{0} (N)$ with density degree $5$ , i.e. all curves $X_{0} (N)$ with infinitely many points of degree $5$ and only finitely many points of degree $d\leq4…

math.AG2026

Morphisms on the modular curve $X_{0} (p)$ and degree $6$ points

Maarten Derickx, Petar OrliÄ

Let $p$ be a prime. We study non-constant morphisms $f : X_{0} (p)_{\to} Y$ , where $Y / Q$ is a curve of genus $\geq 2$ . We prove that for $p < 3000$ such an $f$ of degree $d>…

math.NT2025

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

Petar OrliÄ

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 OrliÄ

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 OrliÄ

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

math.NT2025

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

Petar OrliÄ

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 al…

Modular curves X0​(N) of density degree 5

Morphisms on the modular curve X0​(p) and degree 6 points

Tetragonal modular quotients of X0​(N)

Tetragonal modular quotients X0∗​(N)

Intermediate modular curves with infinitely many quartic points

Tetragonal modular quotients X0+d​(N)

Modular curves $X_{0} (N)$ of density degree $5$

Morphisms on the modular curve $X_{0} (p)$ and degree $6$ points

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

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

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