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We establish Large Galois orbits conjectures for points of unlikely intersections of curves in Y (1) ⁿ, upon assumptions on the intersection of such curves with the boundary X (1) ⁿ Y (1) ⁿ, in the Zilber-Pink setting. As a corollary, building on work of Habegger-Pila and Daw-Orr, we obtain new cases of the Zilber-Pink conjecture for curves in Y (1) ⁿ.
Georgios Papas (Wed,) studied this question.
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