Ratko Darda

collaborators

4 papers

math.NT2026

The stacky Batyrev-Manin conjecture and modular curves

Ratko Darda, Changho Han

Let $X_{0} (N)$ be the Deligne--Rapoport modular stack of elliptic curves endowed with a cyclic rational $N$ -isogeny over a number field $F$ . Let $N\in\{1,2,3,4,5,6,7,8,9,10…

math.AG2025

Orbifold pseudo-effective cones of toric stacks

Ratko Darda, Takehiko Yasuda

In this paper, we explicitly describe the orbifold pseudo-effective cone of a split toric stack.

math.NT2025

The Batyrev-Manin conjecture for DM stacks II

Ratko Darda, Takehiko Yasuda

In this paper, we propose a new framework for studying the distribution of rational points on DM stacks of positive characteristic. Our primary focus is on wild stacks, which exist…

math.NT2025

Counting torsors for wild abelian groups

Ratko Darda, Takehiko Yasuda

Let $F$ be a global field of characteristic $p > 0$ and $G$ a finite abelian $p$ -group. In this paper we treat the question of counting $G$ -torsors over $F$ for certain heights dev…