{
  "id": "2303.12005",
  "version": "v1",
  "published": "2023-03-21T16:37:17.000Z",
  "updated": "2023-03-21T16:37:17.000Z",
  "title": "Cones of divisors on $\\mathbb{P}^3$ blown up at eight very general points",
  "authors": [
    "Isabel Stenger",
    "Zhixin Xie"
  ],
  "comment": "30 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $X$ be the blowup of $\\mathbb{P}^3$ at eight very general points. We give a complete description of its nef and effective cones. Moreover, we show that there exists a rational polyhedral fundamental domain for the action of a certain Weyl group on the effective movable cone of $X$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-21T16:37:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general points",
      "rational polyhedral fundamental domain",
      "complete description",
      "weyl group",
      "effective cones"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}