{
  "id": "1902.03540",
  "version": "v1",
  "published": "2019-02-10T05:37:40.000Z",
  "updated": "2019-02-10T05:37:40.000Z",
  "title": "An improvement of the duality formalism of the rational etale site",
  "authors": [
    "Takashi Suzuki"
  ],
  "comment": "26 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We improve the arithmetic duality formalism of the rational etale site. This improvement allows us to avoid some exotic approximation arguments on local fields with ind-rational base, thus simplifying the proofs of the previously established duality theorems in the rational etale site and making the formalism more user-friendly. In a subsequent paper, this new formulation will be used in a crucial way to study duality for two-dimensional local rings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-10T05:37:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F20",
      "11S25",
      "11G10"
    ],
    "keywords": [
      "rational etale site",
      "improvement",
      "exotic approximation arguments",
      "arithmetic duality formalism",
      "two-dimensional local rings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}