{
  "id": "2003.05960",
  "version": "v1",
  "published": "2020-03-12T18:14:00.000Z",
  "updated": "2020-03-12T18:14:00.000Z",
  "title": "On the Bloch-Kato conjecture for GSp(4)",
  "authors": [
    "David Loeffler",
    "Sarah Livia Zerbes"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove an explicit reciprocity law for the Euler system attached to the spin motive of a genus 2 Siegel modular form. As consequences, we obtain one inclusion of the Iwasawa Main Conjecture for such motives, and the Bloch--Kato conjecture in analytic rank 0 for their critical twists.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-12T18:14:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F46",
      "11F67",
      "11F80",
      "11R23"
    ],
    "keywords": [
      "bloch-kato conjecture",
      "explicit reciprocity law",
      "iwasawa main conjecture",
      "siegel modular form",
      "analytic rank"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}