{
  "annotation_id": "9e6e2617-3646-4582-9ac6-a1028003e73c",
  "date_created": "2026-02-17T05:53:16.250000Z",
  "date_modified": "2026-02-17T05:53:16.250000Z",
  "file_hash": "2d7bdac62a64c86b1ad4f76b78ea5058e4386c95998a7d4c597b6144115ccb58",
  "private": false,
  "record": {
    "abstract": "In this article, we prove the orbifold version of the Bogomolov-Gieseker inequality for stable $\\mathbb Q$-sheaves on K\\\"ahler varieties, generalizing our earlier work \\cite{GP25} in dimension three. We also provide a characterization of the equality case, a new purely analytical proof of the numerical characterization of complex torus quotients as well as a novel, complex analytic interpretation of the second orbifold Chern class associated to a $\\mathbb Q$-sheaf.",
    "arxiv_id": "2601.08627",
    "authors": [
      "Henri Guenancia",
      "Mihai P\u0103un"
    ],
    "categories": [
      "math.AG",
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "A complex analytic approach to orbifold Chern classes on singular varieties and its applications",
    "url": "https://arxiv.org/abs/2601.08627",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d769b2fe-64d9-449b-af51-92e2738171fa",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}