{
  "id": "1511.07124",
  "version": "v1",
  "published": "2015-11-23T07:44:21.000Z",
  "updated": "2015-11-23T07:44:21.000Z",
  "title": "Motives with modulus",
  "authors": [
    "Bruno Kahn",
    "Shuji Saito",
    "Takao Yamazaki"
  ],
  "comment": "73 pages",
  "categories": [
    "math.AG",
    "math.KT",
    "math.NT"
  ],
  "abstract": "We construct and study a triangulated category of motives with modulus that extends Voevodsky's category in such a way as to encompass non-homotopy invariant phenomena. It is intimately related to the theory of reciprocity sheaves, introduced by the authors in a previous paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-23T07:44:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "encompass non-homotopy invariant phenomena",
      "extends voevodskys category",
      "reciprocity sheaves",
      "triangulated category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 73,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151107124K"
    }
  }
}