{
  "id": "2407.05043",
  "version": "v1",
  "published": "2024-07-06T10:38:43.000Z",
  "updated": "2024-07-06T10:38:43.000Z",
  "title": "Model theory of valued fields with an endomorphism",
  "authors": [
    "Simone Ramello"
  ],
  "categories": [
    "math.LO",
    "math.AC"
  ],
  "abstract": "We establish relative quantifier elimination for valued fields of residue characteristic zero enriched with a non-surjective valued field endomorphism, building on recent work of Dor and Halevi. In particular, we deduce relative quantifier elimination for the limit of the Frobenius action on separably closed valued fields of positive characteristic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-06T10:38:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "12L12"
    ],
    "keywords": [
      "model theory",
      "residue characteristic zero",
      "deduce relative quantifier elimination",
      "non-surjective valued field endomorphism",
      "frobenius action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}