{
  "id": "2206.10420",
  "version": "v1",
  "published": "2022-06-21T14:18:14.000Z",
  "updated": "2022-06-21T14:18:14.000Z",
  "title": "Regular models of hyperelliptic curves",
  "authors": [
    "Simone Muselli"
  ],
  "comment": "48 pages. Comments are welcome",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $K$ be a complete discretely valued field of residue characteristic not $2$ and $O_K$ its ring of integers. We explicitly construct a regular model over $O_K$ with strict normal crossings of any hyperelliptic curve $C/K:y^2=f(x)$. For this purpose, we introduce the new notion of ''MacLane cluster picture'', that aims to be a link between clusters and MacLane valuations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-21T14:18:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G20",
      "14H45",
      "14M25"
    ],
    "keywords": [
      "hyperelliptic curve",
      "regular model",
      "maclane cluster picture",
      "strict normal crossings",
      "residue characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}