Boundedness results for periodic points on algebraic varieties

DOI10.1007/BF02829589zbMath1086.11029arXivmath/0212200OpenAlexW2066355741MaRDI QIDQ5947472

Najmuddin Fakhruddin

Publication date: 2001

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212200

zbMATH Keywords

periodic pointbound

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Local ground fields in algebraic geometry (14G20) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25)

Related Items (6)

Good reduction of periodic points on projective varieties ⋮ Survey lecture on arithmetic dynamics ⋮ Uniform bounds for periods of endomorphisms of varieties ⋮ Preperiodic points of polynomials over global fields ⋮ Scarcity of finite orbits for rational functions over a number field ⋮ Current trends and open problems in arithmetic dynamics

Cites Work

• Unnamed Item
• Rational points on K3 surfaces: A new canonical height
• Cycles of quadratic polynomials and rational points on a genus-2 curve
• Some remarks on rational periodic points
• Periodic points on an algebraic variety
• Sur les propriétés arithmétiques des itérés d'automorphismes réguliers

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