{
  "id": "2212.06670",
  "version": "v1",
  "published": "2022-12-13T15:48:17.000Z",
  "updated": "2022-12-13T15:48:17.000Z",
  "title": "On the dimension of some union of affine Deligne-Lusztig varieties",
  "authors": [
    "Arghya Sadhukhan"
  ],
  "comment": "Preliminary version, comments welcome! arXiv admin note: text overlap with arXiv:2107.14461 by other authors",
  "categories": [
    "math.RT",
    "math.AG",
    "math.NT"
  ],
  "abstract": "In this paper, we consider certain union $X(\\mu,b)$ of affine Deligne-Lusztig varieties in the affine flag variety that arises in the study of mod-$p$ reduction of Rapoport-Zink spaces and moduli spaces of shtukas associated to a connected reductive group. Under a mild hypothesis on $\\mu$, but no further restrictions on the group, we compute its dimension in the case where $b$ is the maximal neutrally acceptable element.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-13T15:48:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine deligne-lusztig varieties",
      "affine flag variety",
      "rapoport-zink spaces",
      "mild hypothesis",
      "maximal neutrally acceptable element"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}