{
  "id": "math/0502571",
  "version": "v3",
  "published": "2005-02-28T08:43:39.000Z",
  "updated": "2007-04-06T13:55:54.000Z",
  "title": "Deformations and Fourier-Mukai transforms",
  "authors": [
    "Yukinobu Toda"
  ],
  "comment": "To appear in Journal of Differential Geometry",
  "categories": [
    "math.AG"
  ],
  "abstract": "The aim of this paper is twofold: First we give an explicit construction of the infinitesimal deformations of the category Coh(X) of coherent sheaves on a smooth projective variety X. Secondly we show that any Fourier-Mukai transform $/Phi/colon D^b(X)/to D^b(Y)$ extends to an equivalence between the derived categories of the deformed Abelian categories.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-04-06T13:55:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "14A22",
      "14B10",
      "14E30"
    ],
    "keywords": [
      "fourier-mukai transform",
      "smooth projective variety",
      "explicit construction",
      "category coh",
      "deformed abelian categories"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2571T"
    }
  }
}