{
  "id": "1602.07491",
  "version": "v1",
  "published": "2016-02-24T13:21:58.000Z",
  "updated": "2016-02-24T13:21:58.000Z",
  "title": "Morphisms to Brauer-Severi varieties, with applications to del Pezzo surfaces",
  "authors": [
    "Christian Liedtke"
  ],
  "comment": "37 pages, comments very welcome!",
  "categories": [
    "math.AG"
  ],
  "abstract": "We classify morphisms from proper varieties to Brauer-Severi varieties, which generalizes the classical correspondence between morphisms to projective space and globally generated invertible sheaves. As an application, we study del Pezzo surfaces of large degree with a view towards Brauer-Severi varieties, and recover classical results on rational points, the Hasse principle, and weak approximation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-24T13:21:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brauer-severi varieties",
      "application",
      "study del pezzo surfaces",
      "weak approximation",
      "large degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160207491L"
    }
  }
}