Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials
From MaRDI portal
Publication:5496309
DOI10.1090/S0002-9939-2014-12328-8zbMath1392.37116arXiv1305.0216OpenAlexW2963936126MaRDI QIDQ5496309
Publication date: 30 January 2015
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.0216
Rational and birational maps (14E05) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35) Non-Archimedean Fatou and Julia sets (37P40)
Related Items (2)
Functional graphs of polynomials over finite fields ⋮ Quadratic maps with a periodic critical point of period 2
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The classification of rational preperiodic points of quadratic polynomials over \(\mathbb{Q}\): A refined conjecture
- Canonical heights on projective space
- Cycles of quadratic polynomials and rational points on a genus-2 curve
- On Poonen's conjecture concerning rational preperiodic points of quadratic maps
- Preperiodic points for quadratic polynomials over quadratic fields
- Über Summen von Primzahlen und Primzahlquadraten
- Rational 6-Cycles Under Iteration of Quadratic Polynomials
- Arithmetic properties of periodic points of quadratic maps, II
- Rational Periodic Points of the Quadratic Function Q c (x) = x 2 + c
- Preperiodic points of polynomials over global fields
This page was built for publication: Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials
