{
  "id": "1003.2050",
  "version": "v3",
  "published": "2010-03-10T08:58:22.000Z",
  "updated": "2012-01-11T15:50:51.000Z",
  "title": "Local heights on elliptic curves and intersection multiplicities",
  "authors": [
    "Vincenz Busch",
    "Jan Steffen Müller"
  ],
  "comment": "8 pages. Rewrote the proof of Theorem 1 using Lemmas 8 and 9. Fixed several typos and inaccuracies",
  "journal": "Int. J. Number Theory 8, 1477-1484 (2012)",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this short note we prove a formula for local heights on elliptic curves over number fields in terms of intersection theory on a regular model over the ring of integers.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-01-11T15:50:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G50",
      "11G40",
      "14G40"
    ],
    "keywords": [
      "elliptic curves",
      "local heights",
      "intersection multiplicities",
      "short note",
      "number fields"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.2050B"
    }
  }
}