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A Finiteness Result for Post-critically Finite Polynomials

A Finiteness Result for Post-critically Finite Polynomials

Let denote the moduli space of polynomials of degree d, up to affine conjugacy. We show that the set of points in corresponding to post-critically finite polynomials is a set of algebraic points of bounded height. It follows that for any B, the set of conjugacy classes of post-critically finite …