{
  "id": "2108.04163",
  "version": "v1",
  "published": "2021-08-09T16:40:26.000Z",
  "updated": "2021-08-09T16:40:26.000Z",
  "title": "Steinberg symbols and reciprocity sheaves",
  "authors": [
    "Junnosuke Koizumi"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AG",
    "math.KT",
    "math.NT"
  ],
  "abstract": "We study multilinear symbols on fields taking values in reciprocity sheaves. We prove that any such symbol satisfying natural axioms automatically has Steinberg-type relations, which is a manifestation of the geometry of modulus pairs lying behind.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-09T16:40:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F42",
      "19D45"
    ],
    "keywords": [
      "reciprocity sheaves",
      "steinberg symbols",
      "symbol satisfying natural axioms",
      "study multilinear symbols",
      "steinberg-type relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}