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arXiv · 1505.03559

On the complex dynamics of birational surface maps defined over number fields

Mattias Jonsson·Paul Reschke
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Abstract

We show that any birational selfmap of a complex projective surface that has dynamical degree greater than one and is defined over a number field automatically satisfies the Bedford-Diller energy condition after a suitable birational conjugacy. As a consequence, the complex dynamics of the map is well-behaved. We also show that there is a well-defined canonical height function.

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Mattias Jonsson, Paul Reschke. 2015-05-13. On the complex dynamics of birational surface maps defined over number fields. https://arxiv.org/abs/1505.03559

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