Uniform boundedness on rational maps with automorphisms

DOI10.1016/j.jnt.2024.09.012MaRDI QIDQ6659403

Minsik Han

Publication date: 9 January 2025

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

automorphismsarithmetic dynamicsrational mapsuniform boundedness conjecture

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Cites Work

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• The classification of rational preperiodic points of quadratic polynomials over \(\mathbb{Q}\): A refined conjecture
• Cycles of quadratic polynomials and rational points on a genus-2 curve
• Dynamical uniform boundedness and the \(abc\)-conjecture
• Periodic points on an algebraic variety
• Rational 6-Cycles Under Iteration of Quadratic Polynomials
• Uniform bounds for preperiodic points in families of twists
• Arithmetic properties of periodic points of quadratic maps, II
• Misiurewicz polynomials for rational maps with nontrivial automorphisms
• Automorphism loci for the moduli space of rational maps
• ℚ-rational cycles for degree-2 rational maps having an automorphism

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