Misiurewicz polynomials for rational maps with nontrivial automorphisms

DOI10.4064/aa200413-23-9zbMath1469.37067arXiv2002.01039OpenAlexW3131580689MaRDI QIDQ4988879

Minsik Han

Publication date: 20 May 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01039

zbMATH Keywords

automorphismsirreducibilityarithmetic dynamicsrational mapsMisiurewicz polynomialsGleason polynomials

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45)

Cites Work

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• On the orbit of a post-critically finite polynomial of the form \(x^d+c\)
• On postcritically finite unicritical polynomials
• A note on Misiurewicz polynomials
• Misiurewicz points for polynomial maps and transversality
• Integrality and rigidity for postcritically finite polynomials
• Current trends and open problems in arithmetic dynamics
• Automorphism loci for the moduli space of rational maps

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