{
  "id": "1708.02797",
  "version": "v1",
  "published": "2017-08-09T12:10:10.000Z",
  "updated": "2017-08-09T12:10:10.000Z",
  "title": "Cox ring of the generic fiber",
  "authors": [
    "Antonio Laface",
    "Luca Ugaglia"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Given a surjective morphism $\\pi\\colon X\\to Y$ between normal varieties satisfying some regularity hypotheses we prove how to recover a Cox ring of the generic fiber $X_\\eta$ of $\\pi$ from the Cox ring of $X$. We also prove that in some particular cases it is possible to recover the Cox ring of a very general fiber of $\\pi$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-09T12:10:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14Q15",
      "14N25"
    ],
    "keywords": [
      "cox ring",
      "generic fiber",
      "regularity hypotheses",
      "general fiber"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}