{
  "id": "math/9805043",
  "version": "v1",
  "published": "1998-05-08T13:25:06.000Z",
  "updated": "1998-05-08T13:25:06.000Z",
  "title": "On the Classification of 3-dimensional SL_2(C)-varieties",
  "authors": [
    "Stefan Kebekus"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In the present work we describe 3-dimensional complex SL_2-varieties where the generic SL_2-orbit is a surface. We apply this result to classify the minimal 3-dimensional projective varieties with Picard-number 1 where a semisimple group acts such that the generic orbits are 2-dimensional. This is an ingredient of the classification [Keb98, math.AG/9805042] of the 3-dimensional relatively minimal quasihomogeneous varieties where the automorphism group is not solvable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-05-08T13:25:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M17",
      "14L30",
      "32M12"
    ],
    "keywords": [
      "classification",
      "semisimple group acts",
      "relatively minimal quasihomogeneous varieties",
      "generic orbits",
      "automorphism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......5043K"
    }
  }
}