6 papers · 1 filter
André's theorem and weakly bounded height
Guy Fowler
Let be an algebraic curve such that , where denote the coordinate functions on $\mathbb{A}^2(\mathbb…
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…
Distinct differences of singular moduli
Guy Fowler, Emanuele Tron
Let be non-isomorphic elliptic curves with complex multiplication. We prove that the pair is characterised, up to isomorphism, by the differenc…
Some uniform effective results on André--Oort for sums of powers in
Guy Fowler
We prove an André--Oort-type result for a family of hypersurfaces in that is both uniform and effective. Let denote the single exceptional imaginary quadratic…
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)…
Triples of singular moduli with rational product
Guy Fowler
We show that all triples of singular moduli satisfying are "trivial". That is, either ; some $x_…