{
  "annotation_id": "5e5d3300-928d-40f4-87a1-e98daf68c573",
  "date_created": "2026-02-17T05:53:07.776000Z",
  "date_modified": "2026-02-17T05:53:07.776000Z",
  "file_hash": "36aa1b828b1beaf55f0db1093d2ec6eede2ec14eb8ba4dc013e80f3fdfa26782",
  "private": false,
  "record": {
    "abstract": "Consider an $(n+1)$-dimensional circular cone. Using a calibration argument, we prove that if $n \\geq 4$ and the aperture of the cone is sufficiently large, the intersection of the cone with an axial hyperplane is area-minimizing with respect to free-boundary variations inside the cone.",
    "arxiv_id": "2601.06601",
    "authors": [
      "Giacomo Vianello"
    ],
    "categories": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Minimality of free-boundary axial hyperplanes in high dimensional circular cones via calibration",
    "url": "https://arxiv.org/abs/2601.06601",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "55e7e867-8c13-484e-aec8-f14994bfa718",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}