Sebastian Eterovi'c

collaborators

6 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.CV2025

Bialgebraic varieties of the Gamma function

Sebastian EteroviÄ, Sebastian Eterović, Adele Padgett +1

We characterize the bialgebraic varieties of the $Γ$ function, that is, if $V, W \subseteq C^{n}$ are irreducible affine algebraic variety which satisfy $dim V = dim W$ and $Γ…

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)…

math.AG2025

Algebraic Varieties and Automorphic Functions

Sebastian EteroviÄ, Roy Zhao

Let $(G, X)$ be a Shimura datum, let $I^c ◯$ be a connected component of $X$ , let $I^$ be a congruence subgroup of $G (Q)^{+}$ , and consider the quotient map $q: Î©\to S:=Î\b…

math.NT2024

Some Equations Involving the Gamma Function

Sebastian EteroviÄ, Adele Padgett

Let $V \subseteq C^{2 n}$ be an algebraic variety with no constant coordinates and with a dominant projection onto the first $n$ coordinates. We show that the intersection of…