{
  "id": "2305.14073",
  "version": "v1",
  "published": "2023-05-23T13:51:30.000Z",
  "updated": "2023-05-23T13:51:30.000Z",
  "title": "Cohomology of complete intersections of quadrics",
  "authors": [
    "Jan Nagel"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that the variable cohomology of a general complete intersection of quadrics can be identified with the intersection cohomology of a double covering. As a consequence, we show that the middle cohomology of a general complete intersection of four quadrics in an odd-dimensional projective space is isomorphic to the middle cohomology of a resolution of singularities of a double solid.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-23T13:51:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "14C30",
      "32S60"
    ],
    "keywords": [
      "general complete intersection",
      "middle cohomology",
      "intersection cohomology",
      "odd-dimensional projective space",
      "consequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}