{
  "id": "1402.1954",
  "version": "v1",
  "published": "2014-02-09T14:25:45.000Z",
  "updated": "2014-02-09T14:25:45.000Z",
  "title": "On the $\\partial\\overline{\\partial}$-Lemma and Bott-Chern cohomology",
  "authors": [
    "Daniele Angella",
    "Adriano Tomassini"
  ],
  "journal": "Invent. Math. 192 (2013), no. 1, 71-81",
  "doi": "10.1007/s00222-012-0406-3",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "On a compact complex manifold $X$, we prove a Fr\\\"olicher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if $X$ satisfies the $\\partial\\overline{\\partial}$-Lemma.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-09T14:25:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q99"
    ],
    "keywords": [
      "bott-chern cohomology",
      "compact complex manifold",
      "equality holds"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2013,
      "month": "Apr",
      "volume": 192,
      "number": 1,
      "pages": 71
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1280836,
      "adsabs": "2013InMat.192...71A"
    }
  }
}