{
  "id": "1103.5574",
  "version": "v2",
  "published": "2011-03-29T08:59:11.000Z",
  "updated": "2011-12-09T12:22:41.000Z",
  "title": "An Index Theorem for Modules on a Hypersurface Singularity",
  "authors": [
    "Ragnar-Olaf Buchweitz",
    "Duco van Straten"
  ],
  "comment": "Revised according to recommendations of a thorough reviewer, references updated",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "A topological interpretation of Hochster's Theta pairing of two modules on a hypersurface ring is given in terms of linking numbers. This generalizes results of M. Hochster and proves a conjecture of J. Steenbrink. As a corollary we get that the Theta pairing vanishes for isolated hypersurface singularities in an odd number of variables, as was conjectured by H. Dao.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-12-09T12:22:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "13C14",
      "19M05"
    ],
    "keywords": [
      "hypersurface singularity",
      "index theorem",
      "odd number",
      "hochsters theta",
      "isolated hypersurface singularities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.5574B"
    }
  }
}