{
  "id": "0810.1936",
  "version": "v2",
  "published": "2008-10-10T19:03:25.000Z",
  "updated": "2009-08-21T07:24:34.000Z",
  "title": "Exceptional Sequences of Invertible Sheaves on Rational Surfaces",
  "authors": [
    "Lutz Hille",
    "Markus Perling"
  ],
  "comment": "40 pages, 5 figures, requires packages ams*, enumerate, xy, geometry, minor changes",
  "journal": "Comp. Math. 147(4), 1230-1280, 2011",
  "doi": "10.1112/S0010437X10005208",
  "categories": [
    "math.AG",
    "hep-th"
  ],
  "abstract": "In this article we consider exceptional sequences of invertible sheaves on smooth complete rational surfaces. We show that to every such sequence one can associate a smooth complete toric surface in a canonical way. We use this structural result to prove various theorems on exceptional and strongly exceptional sequences of invertible sheaves on rational surfaces. We construct full strongly exceptional sequences for a large class of rational surfaces. For the case of toric surfaces we give a complete classification of full strongly exceptional sequences of invertible sheaves.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-08-21T07:24:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J26",
      "14M25",
      "18E30",
      "14F05"
    ],
    "keywords": [
      "invertible sheaves",
      "smooth complete toric surface",
      "construct full strongly exceptional sequences",
      "smooth complete rational surfaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1086191,
      "adsabs": "2008arXiv0810.1936H"
    }
  }
}