{
  "id": "1609.02113",
  "version": "v1",
  "published": "2016-09-07T18:59:07.000Z",
  "updated": "2016-09-07T18:59:07.000Z",
  "title": "Uniqueness of Embeddings of the Affine Line into Algebraic Groups",
  "authors": [
    "Peter Feller",
    "Immanuel van Santen né Stampfli"
  ],
  "comment": "37 pages, comments welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $Y$ be the underlying variety of a connected affine algebraic group. We prove that two embeddings of the affine line $\\mathbb{C}$ into $Y$ are the same up to an automorphism of $Y$ provided that $Y$ is not isomorphic to a product of a torus $(\\mathbb{C}^\\ast)^k$ and one of the three varieties $\\mathbb{C}^3$, $\\operatorname{SL}_2$, and $\\operatorname{PSL}_2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-07T18:59:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14R10",
      "20G20",
      "14J50",
      "14R25",
      "14M15"
    ],
    "keywords": [
      "affine line",
      "embeddings",
      "uniqueness",
      "connected affine algebraic group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}