{
  "id": "1704.02442",
  "version": "v1",
  "published": "2017-04-08T05:38:44.000Z",
  "updated": "2017-04-08T05:38:44.000Z",
  "title": "Purity of reciprocity sheaves",
  "authors": [
    "Shuji Saito"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "The purpose of this paper is to extend Voevodsky's fundamental results on homotopy invariant (pre)sheaves with transfers to its generalization, reciprocity (pre)sheaves introduced by Kahn-Saito-Yamazaki. The main results of this paper play a crucial role in deducing the main properties of the triangulated category of motives with modulus constructed by Kahn-Saito-Yamazaki, which is a new triangulated category enlarging Voevodsky's triangulated category of motives to encompass non homotopy invariant motivic phenomena.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-08T05:38:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19E15",
      "14F42",
      "19D45",
      "19F15"
    ],
    "keywords": [
      "reciprocity sheaves",
      "enlarging voevodskys triangulated category",
      "non homotopy invariant motivic phenomena",
      "encompass non homotopy invariant motivic",
      "category enlarging voevodskys"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}