Salem numbers and Enriques surfaces
arXiv:1601.04222
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.
Final version, two references added, some corrections in computer computations, to appear in Experimental Mathematics