{
  "id": "2407.17055",
  "version": "v1",
  "published": "2024-07-24T07:32:29.000Z",
  "updated": "2024-07-24T07:32:29.000Z",
  "title": "On the Bloch-Kato conjecture and Iwasawa main conjecture for GO(4)",
  "authors": [
    "Giada Grossi",
    "David Loeffler",
    "Sarah Livia Zerbes"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove the Bloch-Kato conjecture for critical values of Asai L-functions of p-ordinary Hilbert modular forms over quadratic fields (with p split); and one inclusion in the Iwasawa main conjecture for these L-functions (up to a power of p). Nous prouvons la conjecture de Bloch-Kato pour la fonction L Asai pour le formes modulaires Hilbert p-ordinaires associ\\'ees \\`a une extension r\\'eelle quadratique dans laquelle p decompose. Egalement nous obtenons une inclusion de la Conjecture Principale d'Iwasawa.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-24T07:32:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F41",
      "11F33",
      "11G18",
      "14G35"
    ],
    "keywords": [
      "iwasawa main conjecture",
      "bloch-kato conjecture",
      "extension reelle quadratique dans laquelle",
      "formes modulaires hilbert p-ordinaires associees",
      "p-ordinary hilbert modular forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}