{
  "id": "1808.05246",
  "version": "v1",
  "published": "2018-08-15T18:30:24.000Z",
  "updated": "2018-08-15T18:30:24.000Z",
  "title": "Periodic cyclic homology and derived de Rham cohomology",
  "authors": [
    "Benjamin Antieau"
  ],
  "comment": "Comments welcome",
  "categories": [
    "math.AG",
    "math.KT"
  ],
  "abstract": "We use the Beilinson $t$-structure on filtered complexes and the Hochschild-Kostant-Rosenberg theorem to construct filtrations on the negative cyclic and periodic cyclic homologies of a scheme $X$ with graded pieces given by the Hodge-completion of the derived de Rham cohomology of $X$. Such filtrations have previously been constructed by Loday in characteristic zero and by Bhatt-Morrow-Scholze for $p$-complete negative cyclic and periodic cyclic homology in the quasisyntomic case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-15T18:30:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F30",
      "14L05",
      "13D03"
    ],
    "keywords": [
      "periodic cyclic homology",
      "rham cohomology",
      "complete negative cyclic",
      "characteristic zero",
      "construct filtrations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}