{
  "id": "2111.13521",
  "version": "v2",
  "published": "2021-11-26T14:37:40.000Z",
  "updated": "2022-03-25T11:26:44.000Z",
  "title": "On the numerical dimension of Calabi-Yau 3-folds of Picard number 2",
  "authors": [
    "Michael Hoff",
    "Isabel Stenger"
  ],
  "comment": "17 pages, added an argument in the proof of the main theorem, improvements following the referee's suggestions",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that for any smooth Calabi-Yau threefold $X$ of Picard number $2$ with infinite birational automorphism group, the numerical dimension $\\kappa_\\sigma$ of the extremal rays of the movable cone of $X$ is $\\frac{3}{2}$. Furthermore, we provide new examples of Calabi-Yau threefolds of Picard number $2$ with infinite birational automorphism group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-03-25T11:26:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "picard number",
      "numerical dimension",
      "infinite birational automorphism group",
      "smooth calabi-yau threefold",
      "extremal rays"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}