Abstract: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 $X(1)^n\backslash Y(1)^n$, 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 $Y(1)^n$.
From: Georgios Papas [view email]
[v1]
Wed, 14 Feb 2024 08:12:18 UTC (36 KB)
[v2]
Fri, 20 Feb 2026 06:34:34 UTC (44 KB)
[v3]
Wed, 24 Jun 2026 16:36:23 UTC (41 KB)
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