{
  "id": "math/0702114",
  "version": "v1",
  "published": "2007-02-05T18:25:43.000Z",
  "updated": "2007-02-05T18:25:43.000Z",
  "title": "Defect and Hodge numbers of hypersurfaces",
  "authors": [
    "Slawomir Rams"
  ],
  "comment": "25 pages",
  "journal": "Adv. Geom. 8 (2008), p. 257-288",
  "doi": "10.1515/ADVGEOM.2008.017",
  "categories": [
    "math.AG"
  ],
  "abstract": "We define defect for hypersurfaces with A-D-E singularities in complex projective normal Cohen-Macaulay fourfolds having some vanishing properties of Bott-type and prove formulae for Hodge numbers of big resolutions of such hypersurfaces. We compute Hodge numbers of Calabi-Yau manifolds obtained as small resolutions of cuspidal triple sextics and double octics with higher A_j singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-05T18:25:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J30",
      "14C30",
      "14Q10"
    ],
    "keywords": [
      "hodge numbers",
      "hypersurfaces",
      "complex projective normal cohen-macaulay fourfolds",
      "cuspidal triple sextics",
      "a-d-e singularities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2114R"
    }
  }
}