10 citations · 59 across the 20 of their papers we have counts for
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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…
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)…
A note on unlikely intersections in Shimura varieties
Vahagn Aslanyan, Christopher Daw
We discuss the relationships between the André-Oort, André-Pink-Zannier, and Mordell-Lang conjectures for Shimura varieties. We then combine the latter with the geometric Zilber-Pi…
Some Remarks on Atypical Intersections
Vahagn Aslanyan
In this paper we show how some known weak forms of the Zilber--Pink conjecture can be strengthened by combining them with the Mordell--Lang conjecture or its variants. We illustrat…
Weak Modular Zilber-Pink with Derivatives
Vahagn Aslanyan
In unpublished notes Pila proposed a Modular Zilber-Pink with Derivatives (MZPD) conjecture, which is a Zilber-Pink type statement for the modular -function and its derivatives.…