{
  "id": "1006.5315",
  "version": "v1",
  "published": "2010-06-28T11:10:16.000Z",
  "updated": "2010-06-28T11:10:16.000Z",
  "title": "Frobenius splitting and Derived category of toric varieties",
  "authors": [
    "L. Costa",
    "R. M. Miró-Roig"
  ],
  "comment": "19 pages; To appear Illinois Journal of Mathematics",
  "categories": [
    "math.AG",
    "math.CT"
  ],
  "abstract": "The splitting of the Frobenius direct image of line bundles on toric varieties is used to explicitly construct an orthogonal basis of line bundles in the derived category D^b(X) where X is a Fano toric variety with (almost) maximal Picard number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-06-28T11:10:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14M25"
    ],
    "keywords": [
      "derived category",
      "frobenius splitting",
      "line bundles",
      "frobenius direct image",
      "fano toric variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.5315C"
    }
  }
}