{
  "id": "math/0209116",
  "version": "v1",
  "published": "2002-09-11T09:15:41.000Z",
  "updated": "2002-09-11T09:15:41.000Z",
  "title": "Compactification of the Bruhat-Tits building of PGL by seminorms",
  "authors": [
    "Annette Werner"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AG",
    "math.GR"
  ],
  "abstract": "We construct a compactification of the Bruhat-Tits building associated to the group PGL(V) which can be identified with the space of homothety classes of seminorms on V endowed with the topology of pointwise convergence. Then we define a continuous map from the projective space to this compactification which extends the reduction map from Drinfeld's p-adic symmetric domain to the building.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-09-11T09:15:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E42",
      "20G25"
    ],
    "keywords": [
      "bruhat-tits building",
      "compactification",
      "drinfelds p-adic symmetric domain",
      "reduction map",
      "homothety classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......9116W"
    }
  }
}