{
  "id": "1303.0867",
  "version": "v1",
  "published": "2013-03-04T21:33:19.000Z",
  "updated": "2013-03-04T21:33:19.000Z",
  "title": "Rank 2 ACM bundles on complete intersection Calabi-Yau threefolds",
  "authors": [
    "Matej Filip"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "The aim of this paper is to classify indecomposable rank 2 arithmetically Cohen-Macaulay (ACM) bundles on compete intersection Calabi-Yau (CICY) threefolds and prove the existence of some of them. New geometric properties of the curves corresponding to rank 2 ACM bundles (by Serre correspondence) are obtained. These follow from minimal free resolutions of curves in suitably chosen fourfolds (containing Calabi-Yau threefolds as hypersurfaces). Also the existence of an indecomposable vector bundle of higher rank on a CICY threefold of type (2,4) is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-04T21:33:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complete intersection calabi-yau threefolds",
      "acm bundles",
      "compete intersection calabi-yau",
      "minimal free resolutions",
      "geometric properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}