{
  "id": "1903.01087",
  "version": "v1",
  "published": "2019-03-04T06:30:09.000Z",
  "updated": "2019-03-04T06:30:09.000Z",
  "title": "Borcherds' method for Enriques surfaces",
  "authors": [
    "Simon Brandhorst",
    "Ichiro Shimada"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We classify all primitive embeddings of the lattice of numerical equivalence classes of divisors of an Enriques surface with the intersection form multiplied by 2 into an even unimodular hyperbolic lattice of rank 26. These embeddings have a property that facilitates the computation of the automorphism group of an Enriques surface by Borcherds' method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-04T06:30:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28"
    ],
    "keywords": [
      "enriques surface",
      "unimodular hyperbolic lattice",
      "numerical equivalence classes",
      "intersection form",
      "automorphism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}