Determination of all rational preperiodic points for morphisms of PN

DOI10.1090/S0025-5718-2014-02850-0zbMath1392.37104arXiv1210.6246MaRDI QIDQ5497024

Benjamin Hutz

Publication date: 30 January 2015

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

Full work available at URL: https://arxiv.org/abs/1210.6246

zbMATH Keywords

uniform boundednessPoonen's conjecturerational preperiodic point

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over global ground fields (37P15) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45)

Related Items (9)

Automorphism groups and invariant theory on ℙN ⋮ Dynamical modular curves for quadratic polynomial maps ⋮ Preperiodic points for quadratic polynomials over cyclotomic quadratic fields ⋮ Preperiodic portraits for unicritical polynomials ⋮ Smallest representatives of $\rm {SL}(2,\mathbb {Z})$-orbits of binary forms and endomorphisms of $\mathbb {P}^1$ ⋮ Automorphism loci for degree 3 and degree 4 endomorphisms of the projective line ⋮ Rational periodic points of xd + c and Fermat–Catalan equations ⋮ Quadratic maps with a periodic critical point of period 2 ⋮ Dynatomic polynomials, necklace operators, and universal relations for dynamical units

Uses Software

• SageMath

Cites Work

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