{
  "id": "1912.12617",
  "version": "v1",
  "published": "2019-12-29T09:27:02.000Z",
  "updated": "2019-12-29T09:27:02.000Z",
  "title": "Fano manifolds and stability of tangent bundles",
  "authors": [
    "Akihiro Kanemitsu"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We determine the stability/instability of the tangent bundles of the Fano varieties in a certain class of two orbit varieties, which are classified by Pasquier in 2009. As a consequence, we show that some of these varieties admit unstable tangent bundles, which disproves a conjecture on stability of tangent bundles of Fano manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-29T09:27:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J45",
      "14J40",
      "14J60"
    ],
    "keywords": [
      "fano manifolds",
      "varieties admit unstable tangent bundles",
      "orbit varieties",
      "fano varieties",
      "stability/instability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}