{
  "id": "1607.07813",
  "version": "v1",
  "published": "2016-07-26T17:32:21.000Z",
  "updated": "2016-07-26T17:32:21.000Z",
  "title": "Euler systems for Hilbert modular surfaces",
  "authors": [
    "Antonio Lei",
    "David Loeffler",
    "Sarah Livia Zerbes"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We construct an Euler system -- a compatible family of global cohomology classes -- for the Galois representations appearing in the geometry of Hilbert modular surfaces. If a conjecture of Beilinson on injectivity of regulator maps holds, this Euler system is non-trivial, and we deduce bounds towards the Iwasawa main conjecture for these Galois representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-26T17:32:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F41",
      "11F67",
      "11F80",
      "11R23"
    ],
    "keywords": [
      "hilbert modular surfaces",
      "euler system",
      "galois representations",
      "global cohomology classes",
      "regulator maps holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}