{
  "id": "math/0004167",
  "version": "v1",
  "published": "2000-04-26T19:36:48.000Z",
  "updated": "2000-04-26T19:36:48.000Z",
  "title": "On toric varieties and algebraic semigroups",
  "authors": [
    "Dmitriy Boyarchenko"
  ],
  "comment": "LaTeX, 13 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "The main result of this paper is that every (separated) toric variety which has a semigroup structure compatible with multiplication on the underlying torus is necessarily affine. In the course of proving this statement, we also give a proof of the fact that every separated toric variety may be constructed from a certain fan in a Euclidean space. To our best knowledge, this proof differs essentially from the ones which can be found in the literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-04-26T19:36:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic semigroups",
      "main result",
      "proof differs",
      "separated toric variety",
      "euclidean space"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......4167B"
    }
  }
}