{
  "id": "1910.14579",
  "version": "v1",
  "published": "2019-10-31T16:32:12.000Z",
  "updated": "2019-10-31T16:32:12.000Z",
  "title": "Nisnevich topology with modulus",
  "authors": [
    "Hiroyasu Miyazaki"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In Voevodsky's theory of motives, the Nisnevich topology on smooth schemes is used as an important building block. In this paper, we introduce a Grothendieck topology on proper modulus pairs, and prove its fundamental properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-31T16:32:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19E15",
      "14F42",
      "19D45",
      "19F15"
    ],
    "keywords": [
      "nisnevich topology",
      "proper modulus pairs",
      "smooth schemes",
      "important building block",
      "voevodskys theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}