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arXiv · 2510.09603

Some new cases of Zilber-Pink in $Y(1)^3$

Christopher Daw·Martin Orr·Georgios Papas
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Abstract

We prove the Zilber-Pink conjecture for curves in $Y(1)^3$ that intersect a modular curve in the boundary. We also give an unconditional result for unlikely intersection points having few places of supersingular reduction where they are close to a fixed base point. Both results are proved using the G-functions method for unlikely intersections.

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Christopher Daw, Martin Orr, Georgios Papas. 2025-10-10. Some new cases of Zilber-Pink in $Y(1)^3$. https://arxiv.org/abs/2510.09603

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