{
  "id": "math/0604150",
  "version": "v1",
  "published": "2006-04-06T18:34:32.000Z",
  "updated": "2006-04-06T18:34:32.000Z",
  "title": "Derived and abelian equivalence of K3 surfaces",
  "authors": [
    "Daniel Huybrechts"
  ],
  "comment": "24 pages",
  "journal": "J. Alg. Geom. 17 (2008), 375-400",
  "categories": [
    "math.AG"
  ],
  "abstract": "Tom Bridgeland constructed explicit stability conditions on K3 surfaces. This paper attempts to shed more light on these particular examples, especially on the hearts of the underlying t-structures. We prove that two K3 surfaces X and X' are derived equivalent if and only if there exist complexified polarizations B+iw and B'+iw' such that the associated abelian categories A(B+iw) and A(B'+iw') are equivalent. We study in detail the minimal objects of A(B+iw) and investigate stability under Fourier-Mukai transform.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-06T18:34:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "k3 surfaces",
      "abelian equivalence",
      "tom bridgeland constructed explicit stability",
      "bridgeland constructed explicit stability conditions",
      "fourier-mukai transform"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4150H"
    }
  }
}