{
  "annotation_id": "1211e6d5-110f-4ad9-b03e-fe65e41d61bc",
  "date_created": "2026-03-02T18:02:50.968000Z",
  "date_modified": "2026-03-02T18:02:50.968000Z",
  "file_hash": "673c46c3dd21d4abcda5c7d7d7d25d472bcdbad91cdb5873f4ceb0608fe75be9",
  "private": false,
  "record": {
    "abstract": "We consider dynamical systems associated to Lax pairs depending rationnally\non a spectral parameter. We show that we can express the symplectic form in\nterms of algebro--geometric data provided that the symplectic structure on L is\nof Kirillov type. In particular, in this case the dynamical system is\nintegrable.",
    "arxiv_id": "solv-int/9812009",
    "authors": [
      "O. Babelon",
      "M. Talon"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/S0375-9601(99)00298-4",
    "title": "The symplectic structure of rational Lax pair systems",
    "url": "https://arxiv.org/abs/solv-int/9812009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1e6d697e-1d62-4211-9d56-486824171584",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}