Vahagn Aslanyan

collaborators

3 papers

math.CV2025

Equations involving the modular $j$ -function and its derivatives

Vahagn Aslanyan, Sebastian EteroviÄ, Vincenzo Mantova

We show that for any polynomial $F (X, Y_{0}, Y_{1}, Y_{2}) \in C [X, Y_{0}, Y_{1}, Y_{2}]$ , the equation $F (z, j (z), j^{'} (z), j^{''} (z)) = 0$ has a Zariski dense set of solutions in the hypersurfac…

math.NT2025

Modular Zilber-Pink for geometrically generic varieties

Vahagn Aslanyan, Sebastian EteroviÄ, Sebastian Eterović +1

We prove that the modular Zilber--Pink conjecture (in Pink's formulation in terms of unlikely intersections) holds for all subvarieties $V$ of $Y (1)^{n}$ for which no proje…

math.NT2025

Multiplicative relations among differences of singular moduli

Vahagn Aslanyan, Sebastian EteroviÄ, Guy Fowler

Let $n \in Z_{> 0}$ . We prove that there exist a finite set $V$ and finitely many algebraic curves $T_{1}, \dots, T_{k}$ with the following property: if $(x_1, \ldots, x_n, y)…

Equations involving the modular j-function and its derivatives

Modular Zilber-Pink for geometrically generic varieties

Multiplicative relations among differences of singular moduli

Equations involving the modular $j$ -function and its derivatives