Cyclotomic preperiodic points for morphismsin affine spaces and preperiodic points with bounded house and height

DOI10.7169/facm/2022OpenAlexW4226275307MaRDI QIDQ2108522

Jorge Mello

Publication date: 19 December 2022

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.00947

zbMATH Keywords

algebraic dynamicscyclotomic closurehouse and heights

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Cyclotomic extensions (11R18)

Cites Work

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• On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics
• Dynamics of projective morphisms having identical canonical heights
• Canonical Heights for Random Iterations in Certain Varieties
• On the maximum modulus of cyclotomic integers