{
  "id": "math/0210146",
  "version": "v3",
  "published": "2002-10-09T19:37:19.000Z",
  "updated": "2005-04-27T14:30:47.000Z",
  "title": "Counting rational curves of arbitrary shape in projective spaces",
  "authors": [
    "Aleksey Zinger"
  ],
  "comment": "Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper16.abs.html",
  "journal": "Geom. Topol. 9(2005) 571-697",
  "categories": [
    "math.AG",
    "math.SG"
  ],
  "abstract": "We present an approach to a large class of enumerative problems concerning rational curves in projective spaces. This approach uses analysis to obtain topological information about moduli spaces of stable maps. We demonstrate it by enumerating one-component rational curves with a triple point or a tacnodal point in the three-dimensional projective space and with a cusp in any projective space.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-04-27T14:30:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N99",
      "53D99",
      "55R99"
    ],
    "keywords": [
      "projective space",
      "counting rational curves",
      "arbitrary shape",
      "enumerative problems concerning rational curves",
      "enumerating one-component rational curves"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10146Z"
    }
  }
}