Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint

Details Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint

2005-10-28

arxiv.org/abs/math/0510634v2

Mathematics

Algebraic Geometry

24 pages

Scientific paper

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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