{
  "id": "math/0601275",
  "version": "v3",
  "published": "2006-01-12T19:21:57.000Z",
  "updated": "2006-04-20T04:12:39.000Z",
  "title": "On the intersection theory of Quot schemes and moduli of bundles with sections",
  "authors": [
    "Alina Marian"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We consider a class of tautological top intersection products on the moduli space of stable pairs consisting of semistable vector bundles together with N sections on a smooth complex projective curve C. We show that when N is large, these intersection numbers can equally be computed on the Grothendieck Quot scheme of coherent sheaf quotients of the rank N trivial sheaf on C. The result has applications to the calculation of the intersection theory of the moduli space of semistable bundles on C.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-04-20T04:12:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "intersection theory",
      "moduli space",
      "coherent sheaf quotients",
      "grothendieck quot scheme",
      "smooth complex projective curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1275M"
    }
  }
}