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Salem numbers and Enriques surfaces

Research paper by Igor Dolgachev

Indexed on: 16 Jan '16Published on: 16 Jan '16Published in: Mathematics - Algebraic Geometry



Abstract

It is known that the dynamical degree, or equivalently, the topological entropy of an automorphism g of an algebraic surface S is lower semi-continuous when (S,g) varies in a algebraic family. In this paper we make a series of experiments confirming this behavior with the aim to realize small Salem numbers as the dynamical degrees of automorphisms of Enriques surfaces.