{ "id": "1601.04222", "version": "v1", "published": "2016-01-16T22:35:51.000Z", "updated": "2016-01-16T22:35:51.000Z", "title": "Salem numbers and Enriques surfaces", "authors": [ "Igor Dolgachev" ], "comment": "20pp", "categories": [ "math.AG" ], "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.", "revisions": [ { "version": "v1", "updated": "2016-01-16T22:35:51.000Z" } ], "analyses": { "subjects": [ "14J28", "32F10" ], "keywords": [ "enriques surfaces", "realize small salem numbers", "dynamical degree", "automorphism", "algebraic surface" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160104222D" } } }