{
  "id": "math/0205126",
  "version": "v2",
  "published": "2002-05-12T16:49:36.000Z",
  "updated": "2005-05-25T16:05:46.000Z",
  "title": "Some remarks about the FM-partners of K3 surfaces with Picard numbers 1 and 2",
  "authors": [
    "Paolo Stellari"
  ],
  "comment": "LaTeX, 10 pages",
  "journal": "Geom. Dedic. 108 (2004), 1--13",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we prove some results about K3 surfaces with Picard number 1 and 2. In particular, we give a new simple proof of a theorem due to Oguiso which shows that, given an integer $N$, there is a K3 surface with Picard number 2 and at least $N$ non-isomorphic FM-partners. We describe also the Mukai vectors of the moduli spaces associated to the Fourier-Mukai partners of K3 surfaces with Picard number 1.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-05-25T16:05:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28"
    ],
    "keywords": [
      "k3 surface",
      "picard number",
      "non-isomorphic fm-partners",
      "simple proof",
      "mukai vectors"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......5126S"
    }
  }
}