The authors prove that for certain differential equation trajectories in C^n, all intersections with algebraic varieties of dimension k < sqrt(n)-1 lie in polynomially many balls of radius e^{-T}.
Wilkie’s conjecture for pfaf- fian structures.Annals of Mathematics, 199(2):795 – 821
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Counting Theorems for Algebraic Relations
The authors prove that for certain differential equation trajectories in C^n, all intersections with algebraic varieties of dimension k < sqrt(n)-1 lie in polynomially many balls of radius e^{-T}.