A lower bound on the canonical height for polynomials

DOI10.1007/s00208-018-1735-3zbMath1470.11187arXiv1709.08121OpenAlexW2963075911MaRDI QIDQ2419950

Nicole R. Looper

Publication date: 4 June 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08121

zbMATH Keywords

bad reductioncanonical height

Mathematics Subject Classification ID

Heights (11G50) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30) Dynamical systems over global ground fields (37P15) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45)

Related Items (2)

Dynamical uniform boundedness and the \(abc\)-conjecture ⋮ Current trends and open problems in arithmetic dynamics

Cites Work

• Lower bounds on the canonical height associated to the morphism \(\phi(z)= z^d+c\)
• The canonical height and integral points on elliptic curves
• Lower bound for the canonical height on elliptic curves
• The iteration of cubic polynomials. II: Patterns and parapatterns
• Computing points of small height for cubic polynomials
• On the structure of non-archimedean analytic curves
• Moduli Spaces and Arithmetic Dynamics
• A Finiteness Result for Post-critically Finite Polynomials
• Complex Dynamics and Renormalization (AM-135)
• Preperiodic points of polynomials over global fields
• Trees and the dynamics of polynomials
• Dynamics in One Complex Variable. (AM-160)
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