{
  "id": "1205.1597",
  "version": "v1",
  "published": "2012-05-08T06:18:32.000Z",
  "updated": "2012-05-08T06:18:32.000Z",
  "title": "Torsion in the crystalline cohomology of singular varieties",
  "authors": [
    "Bhargav Bhatt"
  ],
  "comment": "9 pages, comments welcome!",
  "categories": [
    "math.AG",
    "math.AC",
    "math.NT"
  ],
  "abstract": "This note discusses some examples showing that the crystalline cohomology of even very mildly singular projective varieties tends to be quite large. In particular, any singular projective variety with at worst ordinary double points has infinitely generated crystalline cohomology in at least two cohomological degrees. These calculations rely critically on comparisons between crystalline and derived de Rham cohomology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-08T06:18:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singular varieties",
      "singular projective variety",
      "mildly singular projective varieties tends",
      "worst ordinary double points",
      "rham cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.1597B"
    }
  }
}