Abstract/Summary

We prove the Zilber–Pink conjecture for curves in Y(1)^n whose Zariski closure in (P^1)^n passes through the point (∞, . . . , ∞), going beyond the asymmetry condition of Habegger and Pila. Our proof is based on a height bound following André’s G-functions method. The principal novelty is that we exploit relations between evaluations of G-functions at unboundedly many non-archimedean places.