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

Author:

Jonsson Mattias,Reschke Paul

Abstract

AbstractWe 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.

Funder

NSF

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

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