A census of quadratic post-critically finite rational functions defined over

DOI10.1112/S1461157014000266zbMath1369.37091arXiv1212.1518OpenAlexW1607235885MaRDI QIDQ2878845

Michelle Manes, David Lukáš, Diane Yap

Publication date: 5 September 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1518

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over global ground fields (37P15)

Related Items (7)

Dynamical Belyi maps and arboreal Galois groups ⋮ Quadratic rational functions with a rational periodic critical point of period 3 ⋮ Cyclotomic and abelian points in backward orbits of rational functions ⋮ New normal forms for degree-3 polynomials and rational functions ⋮ Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps ⋮ Cubic post-critically finite polynomials defined over ℚ ⋮ Quadratic maps with a periodic critical point of period 2

Cites Work

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• Moduli spaces for families of rational maps on \(\mathbb P^1\)
• The classification of rational preperiodic points of quadratic polynomials over \(\mathbb{Q}\): A refined conjecture
• Points of finite order on elliptic curves with complex multiplication
• Explicit descriptions of quadratic maps on P¹defined over a field K
• Moduli Spaces and Arithmetic Dynamics
• Geometry and Dynamics of Quadratic Rational Maps
• ℚ-rational cycles for degree-2 rational maps having an automorphism

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