{
  "id": "2312.03934",
  "version": "v1",
  "published": "2023-12-06T22:26:07.000Z",
  "updated": "2023-12-06T22:26:07.000Z",
  "title": "Period-index in top cohomology over semiglobal fields",
  "authors": [
    "Sarah Dijols",
    "Raman Parimala",
    "Ramdorai Sujatha",
    "Charlotte Ure"
  ],
  "comment": "Comments are welcome!",
  "categories": [
    "math.NT",
    "math.AG",
    "math.RA"
  ],
  "abstract": "We prove a common slot lemma for symbols in top cohomology classes over semiglobal fields. Furthermore, we prove that period and index agree for general top cohomology classes over such fields. We discuss applications to quadratic forms and related open problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-06T22:26:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12G05",
      "11E04",
      "11E81",
      "13F25",
      "14F22",
      "14H25"
    ],
    "keywords": [
      "semiglobal fields",
      "cohomology classes",
      "period-index",
      "common slot lemma",
      "index agree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}