{
  "id": "2205.06875",
  "version": "v1",
  "published": "2022-05-13T20:21:06.000Z",
  "updated": "2022-05-13T20:21:06.000Z",
  "title": "The moduli space of stable n-pointed curves of genus zero",
  "authors": [
    "Daniel Singh"
  ],
  "comment": "This is the previously unpublished PhD thesis of Daniel Singh, who sadly passed away in 2020. Questions about the mathematical content can be directed to the thesis supervisor, Neil Strickland",
  "categories": [
    "math.AT"
  ],
  "abstract": "In this thesis I give a new description for the moduli space of stable n pointed curves of genus zero and explicitly specify a natural isomorphism and inverse between them that preserves many important properties. I also give a natural description for the universal curve of this space. These descriptions are explicit and defined in a straight forward way. I also compute the tangent bundle of this space. In the second part of the thesis I compute the ordinary integral cohomology ring from the above description and specify a basis for it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-13T20:21:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N65",
      "14H10",
      "57R20"
    ],
    "keywords": [
      "genus zero",
      "moduli space",
      "stable n-pointed curves",
      "natural isomorphism",
      "ordinary integral cohomology ring"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}