{
  "id": "1106.4743",
  "version": "v2",
  "published": "2011-06-23T14:44:00.000Z",
  "updated": "2012-10-04T13:38:13.000Z",
  "title": "Exceptional Sequences on Rational C*-Surfaces",
  "authors": [
    "Andreas Hochenegger",
    "Nathan Owen Ilten"
  ],
  "comment": "30 pages, 11 figures. Some parts of this preprint originally appeared in arXiv:0906.4292v2 but have been revised and expanded upon. Minor changes, to appear in Manuscripta Mathematica",
  "categories": [
    "math.AG"
  ],
  "abstract": "Inspired by Bondal's conjecture, we study the behavior of exceptional sequences of line bundles on rational C*-surfaces under homogeneous degenerations. In particular, we provide a sufficient criterion for such a sequence to remain exceptional under a given degeneration. We apply our results to show that, for toric surfaces of Picard rank 3 or 4, all full exceptional sequences of line bundles may be constructed via augmentation. We also discuss how our techniques may be used to construct noncommutative deformations of derived categories.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-04T13:38:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14F05",
      "14D06"
    ],
    "keywords": [
      "line bundles",
      "full exceptional sequences",
      "construct noncommutative deformations",
      "picard rank",
      "toric surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.4743H"
    }
  }
}