{
  "annotation_id": "a4a1e940-f416-4c96-9abb-9d8f73a95bbe",
  "date_created": "2026-03-02T18:02:51.345000Z",
  "date_modified": "2026-03-02T18:02:51.345000Z",
  "file_hash": "2787b28a44bb1181ddf621d215b88ad041406ac77cb7f2082608cbc4a8b45249",
  "private": false,
  "record": {
    "abstract": "We use momentum mappings on generalized flag manifolds and their momentum\npolytopes to study the geometry of the level sets of the 1-chop integrals of\nthe full Kostant-Toda lattice in certain isospectral submanifolds of the phase\nspace. We derive expressions for these integrals in terms of Pl\\\"ucker\ncoordinates on the flag manifold in the case that all eigenvalues are zero and\ncompare the geometry of the base locus of their level set varieties with the\ncorresponding geometry for distinct eigenvalues. Finally, we illustrate and\nextend our results in the context of the full sl(3,C) and sl(4,C) Kostant-Toda\nlattices.",
    "arxiv_id": "solv-int/9606006",
    "authors": [
      "Barbara Shipman"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "On the geometry of certain isospectral sets in the full Kostant-Toda   lattice",
    "url": "https://arxiv.org/abs/solv-int/9606006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3689534a-3c30-4e8b-ad6a-e77e1aaf727b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}