{
  "annotation_id": "dcdb03e4-6717-4559-92bd-d10404f6b6f2",
  "date_created": "2026-02-17T05:53:07.826000Z",
  "date_modified": "2026-02-17T05:53:07.826000Z",
  "file_hash": "ccef4442d157109af7e51d8fb21b52d788d424ff857c1f9a13c6465c2e700986",
  "private": false,
  "record": {
    "abstract": "We prove Yun\u0027s minimal reduction conjecture for all classical groups. More precisely, for any topologically nilpotent regular semisimple element $\\gamma$, we show that the associated minimal reduction set $\\mathrm{RT}_{\\mathrm{min}}(\\gamma)$ consists of a single nilpotent orbit. This result confirms and extends Yun\u0027s earlier work in types A and C, and resolves the remaining cases in types B and D. Moreover, we provide an explicit and effective procedure for determining $\\mathrm{RT}_{\\mathrm{min}}(\\gamma)$.",
    "arxiv_id": "2601.06744",
    "authors": [
      "Bin Wang",
      "Xueqing Wen",
      "Yaoxiong Wen"
    ],
    "categories": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Minimal reduction type in classical cases",
    "url": "https://arxiv.org/abs/2601.06744",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0562bc83-df47-46b1-800c-6a1bf5ae6262",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}