{
  "id": "1410.6708",
  "version": "v1",
  "published": "2014-10-24T15:23:50.000Z",
  "updated": "2014-10-24T15:23:50.000Z",
  "title": "Characteristic classes for curves of genus one",
  "authors": [
    "Lenny Taelman"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We compute the cohomology of the stack M_1 with coefficients in Z[1/2], and in low degrees with coefficients in Z. Cohomology classes on M_1 give rise to characteristic classes, cohomological invariants of families of curves of genus one. We prove a number of vanishing results for those characteristic classes, and give explicit examples of families with non-vanishing characteristic classes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-24T15:23:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "explicit examples",
      "coefficients",
      "low degrees",
      "non-vanishing characteristic classes",
      "cohomology classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.6708T"
    }
  }
}