Some new cases of Zilber-Pink in $Y(1)^3$
Number Theory
2026-02-27 v2 Algebraic Geometry
Abstract
We prove the Zilber-Pink conjecture for curves in 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.
Keywords
Cite
@article{arxiv.2510.09603,
title = {Some new cases of Zilber-Pink in $Y(1)^3$},
author = {Christopher Daw and Martin Orr and Georgios Papas},
journal= {arXiv preprint arXiv:2510.09603},
year = {2026}
}
Comments
42 pages; comments welcome