{
  "id": "math/0703426",
  "version": "v2",
  "published": "2007-03-14T19:19:27.000Z",
  "updated": "2008-03-04T11:53:21.000Z",
  "title": "Kolyvagin systems of Stark units",
  "authors": [
    "Kazim Buyukboduk"
  ],
  "comment": "27 pages, revised version, accepted for publication in J. Reine Angew. Math. (Crelle's)",
  "doi": "10.1515/CRELLE.2009.042",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we construct, using Stark elements of Rubin [Ann. Inst. Fourier (Grenoble) 46 (1996), no. 1, 33-62], Kolyvagin systems for certain modified Selmer structures (that are adjusted to have core rank one in the sense of [Mem. Amer. Math. Soc. 168 (2004), no. 799] and prove a Gras-type conjecture, relating these Kolyvagin systems to appropriate ideal class groups, refining the results of Rubin [J. Reine Angew. Math. 425 (1992), 141-154].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-04T11:53:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R27",
      "11R29",
      "11R42"
    ],
    "keywords": [
      "kolyvagin systems",
      "stark units",
      "appropriate ideal class groups",
      "gras-type conjecture",
      "stark elements"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3426B"
    }
  }
}