{
  "id": "2210.02758",
  "version": "v1",
  "published": "2022-10-06T08:52:00.000Z",
  "updated": "2022-10-06T08:52:00.000Z",
  "title": "Frobenius integrability of certain $p$-forms on singular spaces",
  "authors": [
    "Junyan Cao",
    "Andreas Höring"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "Demailly proved that on a smooth compact K\\\"ahler manifold the distribution defined by a holomorphic $p$-form with values in an anti-pseudoeffective line bundle is always integrable. We generalise his result to compact K\\\"ahler spaces with klt singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-06T08:52:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E30"
    ],
    "keywords": [
      "singular spaces",
      "frobenius integrability",
      "anti-pseudoeffective line bundle",
      "smooth compact",
      "klt singularities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}