{
  "id": "2410.07207",
  "version": "v1",
  "published": "2024-09-25T09:22:24.000Z",
  "updated": "2024-09-25T09:22:24.000Z",
  "title": "Compactifications of C^n and the complex projective space",
  "authors": [
    "Thomas Peternell"
  ],
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "We show that the complex projective space is the only projective manifold compactifying $\\mathbb{C}^n$ by a smooth connected hypersurface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-25T09:22:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M27",
      "32J05"
    ],
    "keywords": [
      "complex projective space",
      "compactifications",
      "smooth connected hypersurface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}