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Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint

Shu Kawaguchi
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Abstract

Let X be a smooth projective surface over a number field, and $f: X \to X$ 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).

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Shu Kawaguchi. 2007-08-07. Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint. https://arxiv.org/abs/math/0510634

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