{
  "id": "math/0104057",
  "version": "v2",
  "published": "2001-04-04T21:42:11.000Z",
  "updated": "2003-02-01T00:36:41.000Z",
  "title": "Constructions of nontautological classes on moduli spaces of curves",
  "authors": [
    "T. Graber",
    "R. Pandharipande"
  ],
  "comment": "This supersedes our earlier preprint, \"A non-tautological algebraic class on $\\bar{M}_{2,22}$.\" This version gives more general constructions of nontautological classes on various moduli spaces of pointed curves",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct explicit examples of algebraic cycles in \\bar M_g (for large g congruent to 2 mod 4) and in M_2,20 (no bar) which are not in the tautological ring. In an appendix we give a general method for computing intersections in the tautological ring.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-02-01T00:36:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli spaces",
      "nontautological classes",
      "constructions",
      "construct explicit examples",
      "algebraic cycles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......4057G"
    }
  }
}