{
  "id": "1703.09464",
  "version": "v1",
  "published": "2017-03-28T09:03:19.000Z",
  "updated": "2017-03-28T09:03:19.000Z",
  "title": "Almost homogeneous curves over an arbitrary field",
  "authors": [
    "Bruno Laurent"
  ],
  "comment": "36 pages. Comments are welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "We classify the pairs $(C,G)$ where $C$ is a seminormal curve over an arbitrary field $k$ and $G$ is a smooth connected algebraic group acting faithfully on $C$ with a dense orbit, and we determine the equivariant Picard group of $C$. We also give a partial classification when $C$ is no longer assumed to be seminormal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-28T09:03:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary field",
      "homogeneous curves",
      "equivariant picard group",
      "partial classification",
      "smooth connected algebraic group acting"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}