{
  "id": "0803.2105",
  "version": "v1",
  "published": "2008-03-14T08:32:56.000Z",
  "updated": "2008-03-14T08:32:56.000Z",
  "title": "Overholonomicity of overconvergent $F$-isocrystals over smooth varieties",
  "authors": [
    "Daniel Caro",
    "Nobuo Tsuzuki"
  ],
  "comment": "41 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove the overholonomicity of overconvergent $F$-isocrystals over smooth varieties. This implies that the notions of overholonomicity and devissability in overconvergent $F$-isocrystals are equivalent. Then the overholonomicity is stable under tensor products. So, the overholonomicity gives a $p$-adic cohomology stable under Grothendieck's cohomological operations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-14T08:32:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F30"
    ],
    "keywords": [
      "smooth varieties",
      "overholonomicity",
      "isocrystals",
      "overconvergent",
      "tensor products"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.2105C"
    }
  }
}