Good reduction of periodic points on projective varieties

zbMath1226.37060arXiv0801.3645MaRDI QIDQ610642

Benjamin Hutz

Publication date: 8 December 2010

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

Full work available at URL: https://arxiv.org/abs/0801.3645

zbMATH Keywords

arithmetic dynamics

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99) Arithmetic properties of periodic points (37P35) Arithmetic dynamics on general algebraic varieties (37P55)

Related Items (5)

Canonical vector heights on \(K3\) surfaces -- a nonexistence result ⋮ Automorphism groups and invariant theory on ℙN ⋮ Uniform bounds for periods of endomorphisms of varieties ⋮ Current trends and open problems in arithmetic dynamics ⋮ Determination of all rational preperiodic points for morphisms of PN

Cites Work

• On the dynamical height zeta functions
• Order of elements in the groups related to the general linear group.
• Cycles of polynomial mappings in several variables
• Polynomial cycles in certain local domains
• Dynamics of projective morphisms having identical canonical heights
• Preperiodic points of polynomials over global fields
• Reduction, dynamics, and Julia sets of rational functions
• Boundedness results for periodic points on algebraic varieties
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