{
  "id": "1705.05673",
  "version": "v1",
  "published": "2017-05-16T12:21:01.000Z",
  "updated": "2017-05-16T12:21:01.000Z",
  "title": "Projective and birational geometry of Grassmannians and other special varieties",
  "authors": [
    "Rick Rischter"
  ],
  "comment": "141 pages, Ph.D. Thesis submitted to IMPA. Based on the work of this thesis I was able to submit three preprints: Non-Secant Defectivity via Osculating Projections; On non-secant defectivity of Segre-Veronese varieties; Spherical blow-ups of Grassmannians and Mori Dream Spaces. The present thesis has more examples and some proofs are more detailed than on the papers",
  "categories": [
    "math.AG"
  ],
  "abstract": "In the first part of the thesis, we study a classical invariant of projective varieties, the secant defectivity. The second part is devoted to modern algebraic geometry, we study the birational geometry of blow-ups of Grassmannians at points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-16T12:21:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N05",
      "14N15",
      "14E05",
      "14L10",
      "14M15"
    ],
    "keywords": [
      "birational geometry",
      "special varieties",
      "grassmannians",
      "secant defectivity",
      "second part"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 141,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}