{
  "annotation_id": "748e2af9-bee8-4c3b-a6c6-a30b0167b83e",
  "date_created": "2026-02-17T05:53:07.568000Z",
  "date_modified": "2026-02-17T05:53:07.568000Z",
  "file_hash": "b4dacc635bde1c9da0721e09027a2f9bd70b146f34c7611bfcd7c153a54ca70f",
  "private": false,
  "record": {
    "abstract": "We prove equivalent numerical conditions for a complete spherical variety to admit a toric structure, and for the smoothness of an arbitrary spherical variety along any given G-orbit. The conditions are in terms of spherical skeletons, a coarse \u0027\u0027subset\u0027\u0027 of the Luna-Vust data of a spherical variety. Our smoothness criterion improves upon classical criteria by removing the dependency on external reference tables.",
    "arxiv_id": "2601.06376",
    "authors": [
      "Giuliano Gagliardi",
      "Johannes Hofscheier",
      "Heath Pearson"
    ],
    "categories": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Toricness and smoothness criteria for spherical varieties",
    "url": "https://arxiv.org/abs/2601.06376",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3a1daa96-4d42-4a51-a0ce-023175d21118",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}