{
  "id": "2001.01210",
  "version": "v1",
  "published": "2020-01-05T10:59:56.000Z",
  "updated": "2020-01-05T10:59:56.000Z",
  "title": "Examples of varieties with index one on $C_1$-fields",
  "authors": [
    "Ananyo Dan",
    "Inder Kaur"
  ],
  "comment": "Published in Journal of Number Theory",
  "doi": "10.1016/j.jnt.2019.03.001",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $K$ be the fraction field of a Henselian discrete valuation ring with algebraically closed residue field $k$. In this article we give a sufficient criterion for a projective variety over such a field to have index $1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-05T10:59:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12G05",
      "16K50",
      "14D20",
      "14J60",
      "14L24",
      "14D22"
    ],
    "keywords": [
      "algebraically closed residue field",
      "fraction field",
      "henselian discrete valuation ring",
      "sufficient criterion",
      "projective variety"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}