{
  "id": "math/0304303",
  "version": "v1",
  "published": "2003-04-21T17:32:07.000Z",
  "updated": "2003-04-21T17:32:07.000Z",
  "title": "Vector bundles on a K3 surface",
  "authors": [
    "Shigeru Mukai"
  ],
  "journal": "Proceedings of the ICM, Beijing 2002, vol. 2, 495--502",
  "categories": [
    "math.AG"
  ],
  "abstract": "A K3 surface is a quaternionic analogue of an elliptic curve from a view point of moduli of vector bundles. We can prove the algebraicity of certain Hodge cycles and a rigidity of curve of genus eleven and gives two kind of descriptions of Fano threefolds as applications. In the final section we discuss a simplified construction of moduli spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-21T17:32:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J10",
      "14J28",
      "14J60"
    ],
    "keywords": [
      "k3 surface",
      "vector bundles",
      "elliptic curve",
      "moduli spaces",
      "view point"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......4303M"
    }
  }
}