{
  "id": "0710.3147",
  "version": "v2",
  "published": "2007-10-16T18:18:12.000Z",
  "updated": "2007-10-22T22:45:21.000Z",
  "title": "Local acyclic fibrations and the de Rham complex",
  "authors": [
    "Ben Lee"
  ],
  "comment": "24 pages; exposition revised, typos fixed, minor amendments to statements",
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "We reinterpret algebraic de Rham cohomology for a possibly singular complex variety X as sheaf cohomology in the site of smooth schemes over X with Voevodsky's h-topology. Our results extend to the algebraic de Rham complex as well. Our main technique is to extend Cech cohomology of hypercovers to arbitrary local acyclic fibrations of simplicial presheaves.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-22T22:45:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F40",
      "55N30"
    ],
    "keywords": [
      "rham complex",
      "arbitrary local acyclic fibrations",
      "extend cech cohomology",
      "possibly singular complex variety",
      "main technique"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.3147L"
    }
  }
}