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Cyclotomic preperiodic points for morphisms in affine spaces and preperiodic points with bounded house and height

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Mello,  Jorge
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Mello, J. (2022). Cyclotomic preperiodic points for morphisms in affine spaces and preperiodic points with bounded house and height. Functiones et Approximatio, Commentarii Mathematici, 67(2), 259-279. doi:10.7169/facm/2022.


Cite as: https://hdl.handle.net/21.11116/0000-000A-8347-2
Abstract
Under special conditions, we prove that the set of preperiodic points for
semigroups of self-morphisms of affine spaces falling on cyclotomic closures is
not dense. generalising results of Ostafe and Young (2020). We also extend
previous results about boundness of house and height on certain preperiodicity
sets of higher dimension in semigroup dynamics.