Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint

2005/10/28 by Shu Kawaguchi, Kawaguchi, Shu
Mathematics · #11G50 #14G05 #32H50 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.math/0510634

openalex publication_date 2005/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a smooth projective surface over a number field, and f: X → X an automorphism of positive topological entropy. In this paper, we construct a height function on X that behaves well relative to f and deduce some arithmetic properties of (X; f).

Citations

• The Criteria for Algebraic Equivalence and the Torsion Group

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