English

Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint

Algebraic Geometry 2007-08-07 v2 Number Theory

Abstract

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

Keywords

Cite

@article{arxiv.math/0510634,
  title  = {Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint},
  author = {Shu Kawaguchi},
  journal= {arXiv preprint arXiv:math/0510634},
  year   = {2007}
}

Comments

24 pages

R2 v1 2026-07-22T17:26:37.967Z