Transcendence of polynomial canonical heights
DOI10.1007/s00208-022-02465-xzbMath1527.37105arXiv2112.14937MaRDI QIDQ6093596
Publication date: 7 September 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.14937
Chebyshev polynomialsalgebraic numberBöttcher coordinatesMedvedev-Scanlon classificationpreperiodic subvarietiesproblem of Silvermansplit polynomial maps
Heights (11G50) Transcendence (general theory) (11J81) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic dynamics on general algebraic varieties (37P55) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Progression-free sets in \(\mathbb{Z}_4^n\) are exponentially small
- On large subsets of \(\mathbb{F}_q^n\) with no three-term arithmetic progression
- Mahler functions and transcendence
- An analogue of Ruzsa's conjecture for polynomials over finite fields
- Invariant varieties for polynomial dynamical systems
- A transcendental dynamical degree
- The Dynamical Mordell–Lang Conjecture
- Grouplike minimal sets in ACFA AND in TA
- Polynomial semiconjugacies, decompositions of iterations, and invariant curves
- MODEL THEORY OF DIFFERENCE FIELDS, II: PERIODIC IDEALS AND THE TRICHOTOMY IN ALL CHARACTERISTICS
- Difference fields and descent in algebraic dynamics. I
- Arboreal Galois representations and uniformization of polynomial dynamics
- The Arithmetic of Polynomial Dynamical Pairs
- Algebraic independence of local conjugacies and related questions in polynomial dynamics
- Rationality of dynamical canonical height
- Bounded Height in Families of Dynamical Systems
- Some Arithmetic Dynamics of Diagonally Split Polynomial Maps
- Dynamics in One Complex Variable. (AM-160)
This page was built for publication: Transcendence of polynomial canonical heights
