Proves finiteness of CM S-unit j-invariants for rank 2 Drinfeld modules over F_q[T] and supplies an algorithm that computes the Hilbert modular polynomial for maximal orders.
Finitude des couples d'invariants modulaires singuliers sur une courbe alg\'
3 Pith papers cite this work. Polarity classification is still indexing.
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2026 3verdicts
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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.
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.
citing papers explorer
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Drinfeld modules in rank 2 with CM and S-unit j-invariants
Proves finiteness of CM S-unit j-invariants for rank 2 Drinfeld modules over F_q[T] and supplies an algorithm that computes the Hilbert modular polynomial for maximal orders.
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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.