{
  "id": "1503.01387",
  "version": "v1",
  "published": "2015-03-04T17:07:14.000Z",
  "updated": "2015-03-04T17:07:14.000Z",
  "title": "Splitting criteria for vector bundles on minuscule homogeneous varieties",
  "authors": [
    "Mihai Halic"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "I prove that a vector bundle on a minuscule homogeneous variety splits into a direct sum of line bundles if and only if its restriction to the union of two-dimensional Schubert subvarieties splits. A case-by-case analysis is done.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-04T17:07:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "14M15"
    ],
    "keywords": [
      "vector bundle",
      "splitting criteria",
      "two-dimensional schubert subvarieties splits",
      "minuscule homogeneous variety splits",
      "direct sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}