{
  "id": "2408.15090",
  "version": "v1",
  "published": "2024-08-27T14:21:26.000Z",
  "updated": "2024-08-27T14:21:26.000Z",
  "title": "ACC for local volumes",
  "authors": [
    "Jingjun Han",
    "Jihao Liu",
    "Lu Qi"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove the ACC conjecture for local volumes. Moreover, when the local volume is bounded away from zero, we prove Shokurov's ACC conjecture for minimal log discrepancies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-27T14:21:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05"
    ],
    "keywords": [
      "local volume",
      "shokurovs acc conjecture",
      "minimal log discrepancies",
      "bounded away"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}