{
  "id": "2405.15510",
  "version": "v1",
  "published": "2024-05-24T12:53:10.000Z",
  "updated": "2024-05-24T12:53:10.000Z",
  "title": "Double EPW-cubes: automorphisms and degenerations",
  "authors": [
    "Simone Billi",
    "Stevell Muller",
    "Tomasz Wawak"
  ],
  "comment": "18 pages, 2 tables, 1 extra table in an ancillary file. Comments are welcome!",
  "categories": [
    "math.AG"
  ],
  "abstract": "We describe the group of naturally polarized automorphisms of a double EPW-cube. As an application, we exhibit examples of manifolds of K3^[3]-type with a symplectic action of a large group and determine their transcendental lattices. We study degenerations of smooth double EPW-cubes and give a resolution of mildly singular double EPW-cubes, this gives a family of hyperkaehler manifolds of K3^[3]-type whose general element is not birational to a moduli space of sheaves on a K3 surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-24T12:53:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J42",
      "14J50",
      "14J60"
    ],
    "keywords": [
      "automorphisms",
      "study degenerations",
      "moduli space",
      "general element",
      "hyperkaehler manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}