{
  "id": "1410.6230",
  "version": "v1",
  "published": "2014-10-23T03:10:20.000Z",
  "updated": "2014-10-23T03:10:20.000Z",
  "title": "A Minimal Model Program without flips",
  "authors": [
    "Alberto Chiecchio"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We introduce a new vector space associated to projective variety, the Weil Neron-Severi space, which we show is finitely generated and contains the usual Neron-Severi space as a subspace. We define the Nef cone of Weil divisor and the cone of Weil curves. We study these cones, and prove a new Cone theorem. We use this theorem to propose a Minimal Model Program without flips.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-23T03:10:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal model program",
      "usual neron-severi space",
      "weil neron-severi space",
      "cone theorem",
      "vector space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.6230C"
    }
  }
}