{
  "id": "1203.5827",
  "version": "v3",
  "published": "2012-03-26T21:49:01.000Z",
  "updated": "2013-03-01T19:46:49.000Z",
  "title": "On the Arithmetic Fundamental Lemma in the minuscule case",
  "authors": [
    "Michael Rapoport",
    "Ulrich Terstiege",
    "Wei Zhang"
  ],
  "comment": "Referee's comments incorporated; in particular, the existence of frames for using the theory of displays in the proofs of Theorems 9.4 and 9.5 is clarified. To appear in Compositio Math",
  "journal": "Compositio Mathematica, 2013, volume 149, issue 10, pp. 1631-1666",
  "doi": "10.1112/S0010437X13007239",
  "categories": [
    "math.NT",
    "math.AG",
    "math.RT"
  ],
  "abstract": "The arithmetic fundamental lemma conjecture of the third author connects the derivative of an orbital integral on a symmetric space with an intersection number on a formal moduli space of $p$-divisible groups of Picard type. It arises in the relative trace formula approach to the arithmetic Gan-Gross-Prasad conjecture. We prove this conjecture in the minuscule case.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-03-01T19:46:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G18",
      "14G17",
      "22E55"
    ],
    "keywords": [
      "minuscule case",
      "arithmetic fundamental lemma conjecture",
      "arithmetic gan-gross-prasad conjecture",
      "third author connects",
      "relative trace formula approach"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.5827R"
    }
  }
}