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Modular Zilber-Pink for geometrically generic varieties
Vahagn Aslanyan, Sebastian Eterović, Guy Fowler
We prove that the modular Zilber--Pink conjecture (in Pink's formulation in terms of unlikely intersections) holds for all subvarieties of for which no proje…
Some Equations Involving the Gamma Function
Sebastian Eterović, Adele Padgett
Let be an algebraic variety with no constant coordinates and with a dominant projection onto the first coordinates. We show that the intersection of…
Multiplicative relations among differences of singular moduli
Vahagn Aslanyan, Sebastian Eterović, Guy Fowler
Let . We prove that there exist a finite set and finitely many algebraic curves with the following property: if $(x_1, \ldots, x_n, y)…
Solutions of equations involving the modular function
Sebastian Eterović, Sebastián Herrero
Inspired by work done for systems of polynomial exponential equations, we study systems of equations involving the modular function. We show general cases in which these system…