{
  "id": "2310.19315",
  "version": "v2",
  "published": "2023-10-30T07:24:52.000Z",
  "updated": "2023-11-06T03:39:39.000Z",
  "title": "Positivity of exterior products of tangent bundles and their subsheaves",
  "authors": [
    "Yuting Liu"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "S. Kov\\'acs proposed a conjecture on rigidity results induced by ample subsheaves of some exterior power of tangent bundles for projective manifolds. We verify the conjecture in the case of second exterior products under a rank condition. Besides, we prove a structure theorem satisfied by projective manifolds whose third exterior power of tangent bundle is nef following the approach of K. Watanabe.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-11-06T03:39:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tangent bundle",
      "positivity",
      "projective manifolds",
      "second exterior products",
      "third exterior power"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}