{
  "id": "2405.20899",
  "version": "v1",
  "published": "2024-05-31T15:11:09.000Z",
  "updated": "2024-05-31T15:11:09.000Z",
  "title": "On the cone conjecture for certain pairs of dimension at most 4",
  "authors": [
    "Fulin Xu"
  ],
  "comment": "36 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, by running MMP and considering the anti-canonical fibration, we prove the Morrison-Kawamata cone conjecture for klt Calabi-Yau pairs $(X,\\Delta)$ such that $\\dim X$ is at most $4$, and the Iitaka dimension $\\kappa(X,-K_X)$ is at least $\\dim X - 2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-31T15:11:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "klt calabi-yau pairs",
      "morrison-kawamata cone conjecture",
      "iitaka dimension",
      "anti-canonical fibration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}