{
  "id": "math/0101140",
  "version": "v1",
  "published": "2001-01-17T09:52:09.000Z",
  "updated": "2001-01-17T09:52:09.000Z",
  "title": "Coherent Sheaves on Singular Projective Curves with Nodal Singularities",
  "authors": [
    "I. Burban",
    "Yu. Drozd"
  ],
  "comment": "21 page, 17 figures",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We give the full answer to the question: on which curves the category of coherent sheaves $\\Coh_{X}$ is tame. The answer is: these are just the curves from the list of Drozd-Greuel. Moreover, in this case the derived category $D^{-}(\\Coh_{X})$ is also tame. We give an explicit description of the objects of this category as well as of the categories $D^{b}(\\Coh_{X})$, $\\Coh_{X}$. Among the coherent sheaves we describe the vector bundles, torsion-free sheaves, mixed sheaves and skyscraper sheaves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-01-17T09:52:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coherent sheaves",
      "singular projective curves",
      "nodal singularities",
      "torsion-free sheaves",
      "full answer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......1140B"
    }
  }
}