{
  "id": "1008.0601",
  "version": "v3",
  "published": "2010-08-03T17:33:49.000Z",
  "updated": "2010-09-02T01:01:20.000Z",
  "title": "A note on the cotangent complex in derived algebraic geometry",
  "authors": [
    "Gabriele Vezzosi"
  ],
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "This note is supposed to answer some questions on deformation theory in derived algebraic geometry. We show that derived algebraic geometry allows for a geometrical interpretation of the full cotangent complex and gives a natural setting for deformation and obstruction theories.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-09-02T01:01:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "derived algebraic geometry",
      "full cotangent complex",
      "obstruction theories",
      "deformation theory",
      "geometrical interpretation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.0601V"
    }
  }
}