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Degree gaps for multipliers and the dynamical André–Oort conjecture
Published online by Cambridge University Press: 13 November 2020
Abstract
We demonstrate how recent work of Favre and Gauthier, together with a modification of a result of the author, shows that a family of polynomials with infinitely many post-critically finite specializations cannot have any periodic cycles with multiplier of very low degree, except those that vanish, generalizing results of Baker and DeMarco, and Favre and Gauthier.
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- © Canadian Mathematical Society 2020