{
  "id": "2303.04064",
  "version": "v2",
  "published": "2023-03-07T17:21:58.000Z",
  "updated": "2023-08-02T12:26:08.000Z",
  "title": "Tangent, cotangent, normal and conormal bundles are almost never instanton bundles",
  "authors": [
    "Gianfranco Casnati"
  ],
  "comment": "10 pages. Minor changes. Final version in Communications in Algebra",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "In this very short note we give an elementary characteristic free proof of the result claimed in the title (see Theorem 1.2 for a more precise formulation), generalizing a recent result proved for Ulrich bundles over the complex field by V. Benedetti, P. Montero, Y. Prieto Monta\\~nez, S. Troncoso. Moreover, we also give a similar result about the twists of the cotangent bundle and make some comments about the possibility to obtain an analogous result for twists of the tangent bundle.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-08-02T12:26:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "14D21",
      "14F06"
    ],
    "keywords": [
      "instanton bundles",
      "conormal bundles",
      "elementary characteristic free proof",
      "short note",
      "similar result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}