{
  "id": "1608.02815",
  "version": "v1",
  "published": "2016-08-09T14:28:26.000Z",
  "updated": "2016-08-09T14:28:26.000Z",
  "title": "Nagata's compactification theorem for normal toric varieties over a valuation ring of rank one",
  "authors": [
    "Alejandro Soto"
  ],
  "comment": "1 figure, 14 pages. Comments welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove, using invariant Zariski-Riemann spaces, that every normal toric variety over a valuation ring of rank one can be embedded as an open dense subset into a proper normal toric variety equivariantly. This extends a well known theorem of Sumihiro for toric varieties over a field to this more general setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-09T14:28:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nagatas compactification theorem",
      "valuation ring",
      "proper normal toric variety",
      "invariant zariski-riemann spaces",
      "open dense subset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}