{
  "id": "math/0412533",
  "version": "v3",
  "published": "2004-12-30T02:04:58.000Z",
  "updated": "2005-04-09T21:30:15.000Z",
  "title": "Logarithmic asymptotics of the genus zero Gromov-Witten invariants of the blown up plane",
  "authors": [
    "Ilia Itenberg",
    "Viatcheslav Kharlamov",
    "Eugenii Shustin"
  ],
  "comment": "Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper14.abs.html",
  "journal": "Geom. Topol. 9(2005) 483-491",
  "categories": [
    "math.AG",
    "math.SG"
  ],
  "abstract": "We study the growth of the genus zero Gromov-Witten invariants GW_{nD} of the projective plane P^2_k blown up at k points (where D is a class in the second homology group of P^2_k). We prove that, under some natural restrictions on D, the sequence log GW_{nD} is equivalent to lambda n log n, where lambda = D.c_1(P^2_k).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-04-09T21:30:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35",
      "14J26",
      "53D45"
    ],
    "keywords": [
      "genus zero gromov-witten invariants",
      "logarithmic asymptotics",
      "second homology group",
      "sequence log",
      "natural restrictions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12533I"
    }
  }
}