{
  "id": "2107.07583",
  "version": "v1",
  "published": "2021-07-15T19:43:01.000Z",
  "updated": "2021-07-15T19:43:01.000Z",
  "title": "Isometries of lattices and automorphisms of K3 surfaces",
  "authors": [
    "Eva Bayer-Fluckiger"
  ],
  "categories": [
    "math.NT",
    "math.AG",
    "math.DS"
  ],
  "abstract": "The aim of this paper is to give necessary and sufficient conditions for an integral polynomial to be the characteristic polynomial of a semi-simple isometry of some even unimodular lattice of given signature. This result has applications applications to automorphisms of K3 surfaces; in particular, we show that every Salem number of degree 4, 6, 8,1 2, 14 or 16 is the dynamical degree of an automorphism of a non-projective K3 surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-15T19:43:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "automorphism",
      "characteristic polynomial",
      "semi-simple isometry",
      "unimodular lattice",
      "integral polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}