{
  "id": "math/0404427",
  "version": "v1",
  "published": "2004-04-23T08:14:24.000Z",
  "updated": "2004-04-23T08:14:24.000Z",
  "title": "Infinite products in number theory and geometry",
  "authors": [
    "Jan Hendrik Bruinier"
  ],
  "comment": "34 pages, to appear in Jahresber. Dtsch. Math. Ver",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We give an introduction to the theory of Borcherds products and to some number theoretic and geometric applications. In particular, we discuss how the theory can be used to study the geometry of Hilbert modular surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-04-23T08:14:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F03",
      "11F27",
      "11F41",
      "14C17",
      "14C20",
      "11G18",
      "14G40"
    ],
    "keywords": [
      "number theory",
      "infinite products",
      "hilbert modular surfaces",
      "geometric applications",
      "number theoretic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4427H"
    }
  }
}