Geodesic
Degree gaps for multipliers and the dynamical André–Oort conjecture
Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 867-876

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DOI

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.
DOI : 10.4153/S0008439520000892
Mots-clés : Arithmetic dynamics, critical height, unlikely intersections 
Ingram, Patrick. Degree gaps for multipliers and the dynamical André–Oort conjecture. Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 867-876. doi: 10.4153/S0008439520000892
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     author = {Ingram, Patrick},
     title = {Degree gaps for multipliers and the dynamical {Andr\'e{\textendash}Oort} conjecture},
     journal = {Canadian mathematical bulletin},
     pages = {867--876},
     year = {2021},
     volume = {64},
     number = {4},
     doi = {10.4153/S0008439520000892},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000892/}
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