{
  "id": "2112.06491",
  "version": "v3",
  "published": "2021-12-13T09:04:11.000Z",
  "updated": "2023-05-11T07:04:01.000Z",
  "title": "Arithmetic duality for two-dimensional local rings with perfect residue field",
  "authors": [
    "Takashi Suzuki"
  ],
  "comment": "Revision after referee report. 108 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We give a refinement of Saito's arithmetic duality for two-dimensional local rings by giving algebraic group structures for arithmetic cohomology groups.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2023-05-11T07:04:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G45",
      "14F20",
      "19F05",
      "11S25"
    ],
    "keywords": [
      "two-dimensional local rings",
      "perfect residue field",
      "arithmetic cohomology groups",
      "saitos arithmetic duality",
      "giving algebraic group structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 108,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}