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Degree gaps for multipliers and the dynamical Andre-Oort conjecture

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 Added by Patrick Ingram
 Publication date 2020
  fields
and research's language is English




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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 which vanish, generalizing results of Baker and DeMarco, and Favre and Gauthier.

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