Salem numbers and Enriques surfaces
Algebraic Geometry
2017-01-10 v3
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.
Keywords
Cite
@article{arxiv.1601.04222,
title = {Salem numbers and Enriques surfaces},
author = {Igor Dolgachev},
journal= {arXiv preprint arXiv:1601.04222},
year = {2017}
}
Comments
Final version, two references added, some corrections in computer computations, to appear in Experimental Mathematics