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

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-8347-2 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-10C0-6
Genre: Journal Article

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https://doi.org/10.7169/facm/2022 (Publisher version)
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 Creators:
Mello, Jorge1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 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.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 21
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2009.00947
DOI: 10.7169/facm/2022
 Degree: -

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Title: Functiones et Approximatio, Commentarii Mathematici
Source Genre: Journal
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Publ. Info: Adam Mickiewicz University
Pages: - Volume / Issue: 67 (2) Sequence Number: - Start / End Page: 259 - 279 Identifier: -