Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint

• Autores: Shu Kawaguchi
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 130, Nº 1, 2008, págs. 159-186
• Idioma: inglés
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• Resumen

  • Let X be a smooth projective surface over a number field K ( ? ), and f: X ? X an automorphism of positive topological entropy. In this paper, we show that there are only finitely many f-periodic curves on X. Then we define a height function corresponding to a certain nef and big -divisor D on X and transforming well relative to f, and deduce some arithmetic properties of f-periodic points and non f-periodic points.