Assuming Lang-Trotter-type sparsity for simultaneous supersingular reductions, the paper proves two Zilber-Pink-type finiteness results for Hodge generic curves in Y(1)^n via André's G-function method.
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2026 2verdicts
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Lang-Trotter conjecture for elliptic curve pairs implies new Zilber-Pink cases for curves in A_3 via André's G-functions method, without boundary intersection assumptions.
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Supersingular reduction and strongly special intersections in powers of the modular curve
Assuming Lang-Trotter-type sparsity for simultaneous supersingular reductions, the paper proves two Zilber-Pink-type finiteness results for Hodge generic curves in Y(1)^n via André's G-function method.
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Lang-Trotter phenomena and unlikely intersections
Lang-Trotter conjecture for elliptic curve pairs implies new Zilber-Pink cases for curves in A_3 via André's G-functions method, without boundary intersection assumptions.