Preperiodic points with local rationality conditions in the quadratic unicritical family

DOI10.4064/aa221122-10-10arXiv2211.10571OpenAlexW4391619998WikidataQ128318150 ScholiaQ128318150MaRDI QIDQ6122148

Unnamed Author

Publication date: 28 February 2024

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.10571

zbMATH Keywords

arithmetic dynamicspreperiodic pointsarithmetic capacity theorylocal rationality

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Totally real fields (11R80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of quadratic polynomials over local fields
• Capacity theory on algebraic curves
• Common preperiodic points for quadratic polynomials
• A dynamical construction of small totally \(p\)-adic algebraic numbers
• On the heights of totally \(p\)-adic numbers
• A note on heights in certain infinite extensions of \(\mathbb Q\)
• Heights and totally real numbers
• Heights and totally p-adic numbers
• On an extension of the definition of transfinite diameter and some applications.
• On the product of the conjugates outside the unit circle of an algebraic number
• Equidistribution and the heights of totally real and totally p-adic numbers
• Canonical heights, transfinite diameters, and polynomial dynamics
• Algebraic Equations with Span Less than 4
• Dynamics in One Complex Variable. (AM-160)

This page was built for publication: Preperiodic points with local rationality conditions in the quadratic unicritical family