{
  "id": "0711.3537",
  "version": "v4",
  "published": "2007-11-22T10:36:37.000Z",
  "updated": "2008-06-03T10:04:23.000Z",
  "title": "The intersection of a curve with a union of translated codimension 2 subgroups in a power of an elliptic curve",
  "authors": [
    "Viada Evelina"
  ],
  "comment": "50 pages",
  "journal": "Algebra and Number Theory, Vol.2, No 3, 2008, 249-298",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Let C be an algebraic curve in a power of an elliptic curve, both defined over the algebraic numbers. We show that the set of algebraic points of C which satisfy certain conditions is a finite set. This result has implications with the Pink-Zilber Conjeture and the Mordel-Lang plus Bogomolov Theorem for curves.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2008-06-03T10:04:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K12",
      "11G50",
      "11D45"
    ],
    "keywords": [
      "elliptic curve",
      "translated codimension",
      "mordel-lang plus bogomolov theorem",
      "intersection",
      "algebraic points"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.3537E"
    }
  }
}