{
  "id": "math/0504492",
  "version": "v2",
  "published": "2005-04-24T13:29:09.000Z",
  "updated": "2006-07-27T14:14:58.000Z",
  "title": "Rank 2 arithmetically Cohen-Macaulay bundles on a nonsingular cubic surface",
  "authors": [
    "Daniele Faenzi"
  ],
  "comment": "42 pages. Substantially revised version",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Rank 2 indecomposable arithmetically Cohen-Macaulay bundles E on a nonsingular cubic surface X in P^3 are classified, by means of the possible forms taken by the minimal graded free resolution of E over P^3. The admissible values of the Chern classes of E are listed and the vanishing locus of a general section of E is studied. Properties of E such as (semi) stability and simplicity are investigated; the number of relevant families is computed together with their dimension.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-07-27T14:14:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "13C14",
      "14F05",
      "14D20"
    ],
    "keywords": [
      "nonsingular cubic surface",
      "minimal graded free resolution",
      "indecomposable arithmetically cohen-macaulay bundles",
      "forms taken",
      "general section"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4492F"
    }
  }
}