{
  "annotation_id": "d6eb4a06-8462-4b1d-b773-cc4c596b4967",
  "date_created": "2026-02-17T05:53:24.090000Z",
  "date_modified": "2026-02-17T05:53:24.090000Z",
  "file_hash": "51ca3d05d27e43f65a0ac9d9e550c6bf093c6f057718e1e7855fe41daad29bd9",
  "private": false,
  "record": {
    "abstract": "We prove Kov\\\u0027acs\u0027 conjecture that claims that if the $p^{th}$ exterior power of the tangent bundle of a smooth complex projective variety contains the $p^{th}$ exterior power of an ample vector bundle then the variety is either projective space or the $p$-dimensional quadric hypersurface. This provides a common generalization of Mori, Wahl, Cho-Sato, Andreatta-Wi\\\u0027sniewski, Kobayashi-Ochiai, and Araujo-Druel-Kov\\\u0027acs type characterizations of such varieties.",
    "arxiv_id": "2601.10055",
    "authors": [
      "Soham Ghosh"
    ],
    "categories": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Kov\\\u0027acs\u0027 conjecture on characterisation of projective space and hyperquadrics",
    "url": "https://arxiv.org/abs/2601.10055",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "09e4337c-1f06-4615-8df4-779c1338604b",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}