1 citations · 3 across the 8 of their papers we have counts for
8 papers
Bialgebraic varieties of the Gamma function
Sebastian Eterović, Adele Padgett, Roy Zhao
We characterize the bialgebraic varieties of the function, that is, if are irreducible affine algebraic variety which satisfy and $Γ…
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…
Equations involving the modular -function and its derivatives
Vahagn Aslanyan, Sebastian Eterović, Vincenzo Mantova
We show that for any polynomial , the equation has a Zariski dense set of solutions in the hypersurfac…
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)…
Likely intersections
Sebastian Eterović, Thomas Scanlon
We prove a general likely intersections theorem, a counterpart to the Zilber-Pink conjectures, under the assumption that the Ax-Schanuel property and some mild additional condition…
Algebraic Varieties and Automorphic Functions
Sebastian Eterović, Roy Zhao
Let be a Shimura datum, let be a connected component of , let be a congruence subgroup of , and consider the quotient map $q: Ω\to S:=Γ\backs…
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…