{
  "id": "0804.4256",
  "version": "v2",
  "published": "2008-04-26T21:38:53.000Z",
  "updated": "2009-08-06T05:07:51.000Z",
  "title": "Tilting generators via ample line bundles",
  "authors": [
    "Yukinobu Toda",
    "Hokuto Uehara"
  ],
  "comment": "31 pages. Minor revisions. To appear in Advances in Math",
  "categories": [
    "math.AG"
  ],
  "abstract": "It is known that a tilting generator on an algebraic variety $X$ gives a derived equivalence between $X$ and a certain non-commutative algebra. In this paper, we explain a method to construct a tilting generator from an ample line bundle, and construct it in several examples.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-08-06T05:07:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ample line bundle",
      "tilting generator",
      "algebraic variety",
      "non-commutative algebra",
      "derived equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.4256T"
    }
  }
}