{
  "annotation_id": "085d66eb-776e-4783-b4bd-a0b8503b3037",
  "date_created": "2026-03-02T18:02:51.442000Z",
  "date_modified": "2026-03-02T18:02:51.442000Z",
  "file_hash": "f45b2d7d96312296ec53824cf01ac7156024b04bb50e0484a12e03f4f62dc655",
  "private": false,
  "record": {
    "abstract": "Solutions to a class of differential systems that generalize the Halphen\nsystem are determined in terms of automorphic functions whose groups are\ncommensurable with the modular group. These functions all uniformize Riemann\nsurfaces of genus zero and have $q$--series with integral coefficients.\nRational maps relating these functions are derived, implying subgroup relations\nbetween their automorphism groups, as well as symmetrization maps relating the\nassociated differential systems.",
    "arxiv_id": "solv-int/9804006",
    "authors": [
      "J. Harnad",
      "J. McKay"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA",
      "nlin.SI"
    ],
    "doi": "10.1098/rspa.2000.0517",
    "journal_ref": "Proc.Roy.Soc.Lond. 456 (2000) 261-294",
    "title": "Modular Solutions to Equations of Generalized Halphen Type",
    "url": "https://arxiv.org/abs/solv-int/9804006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "68201019-cffc-423b-8157-3768afa09616",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}