{
  "id": "math/0012061",
  "version": "v1",
  "published": "2000-12-08T17:10:15.000Z",
  "updated": "2000-12-08T17:10:15.000Z",
  "title": "Coherent Sheaves on Configuration Schemes",
  "authors": [
    "Valery A. Lunts"
  ],
  "comment": "27 pages latex",
  "categories": [
    "math.AG"
  ],
  "abstract": "We introduce and study configuration schemes, which are obtained by ``glueing'' usual schemes along closed embeddings. The category of coherent sheaves on a configuration scheme is investigated. Smooth configuration schemes provide alternative ``resolutions of singularities'' of usual singular schemes. We consider in detail the case when the singular scheme is a union of hyperplanes in a projective space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-08T17:10:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coherent sheaves",
      "study configuration schemes",
      "smooth configuration schemes",
      "usual singular schemes",
      "usual schemes"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....12061L"
    }
  }
}