{
  "id": "math/0702152",
  "version": "v1",
  "published": "2007-02-06T16:43:03.000Z",
  "updated": "2007-02-06T16:43:03.000Z",
  "title": "Fourier-Mukai transforms of curves and principal polarizations",
  "authors": [
    "Marcello Bernardara"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Given a Fourier-Mukai transform $\\Phi$ between the bounded derived categories of two smooth projective curves, we verifiy that the induced map between the Jacobian varieties preserves the principal polarization if and only if $\\Phi$ is an equivalence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-06T16:43:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14H40",
      "14H60"
    ],
    "keywords": [
      "fourier-mukai transform",
      "principal polarization",
      "jacobian varieties preserves",
      "smooth projective curves",
      "bounded derived categories"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2152B"
    }
  }
}