{
  "id": "math/9910166",
  "version": "v3",
  "published": "1999-10-29T13:39:51.000Z",
  "updated": "2001-02-10T12:57:02.000Z",
  "title": "A Modular Compactification of the General Linear Group",
  "authors": [
    "Ivan Kausz"
  ],
  "comment": "The misprint in the title has been corrected",
  "journal": "Documenta Mathematica 5 (2000) 553-594",
  "categories": [
    "math.AG"
  ],
  "abstract": "We define a certain compactifiction of the general linear group and give a modular description for its points with values in arbitrary schemes. This is a first step in the construction of a higher rank generalization of Gieseker's degeneration of moduli spaces of vector bundles over a curve. We show that our compactification has similar properties as the ``wonderful compactification'' of algebraic groups of adjoint type as studied by de Concini and Procesi. As a byproduct we obtain a modular description of the points of the wonderful compactification of $\\text{PGl}_n$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-02-10T12:57:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60",
      "14M15"
    ],
    "keywords": [
      "general linear group",
      "modular compactification",
      "modular description",
      "higher rank generalization",
      "wonderful compactification"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....10166K"
    }
  }
}