{
  "id": "1607.05469",
  "version": "v1",
  "published": "2016-07-19T09:04:23.000Z",
  "updated": "2016-07-19T09:04:23.000Z",
  "title": "Stability of Rank 2 Ulrich Bundles on Projective K3 Surfaces",
  "authors": [
    "Gianfranco Casnati",
    "Federica Galluzzi"
  ],
  "comment": "14 pages. Comments welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $F\\subseteq\\mathbb P ^{a+1}$ be a non-degenerate $K3$ surface of degree $2a$, where $a\\ge2$. In this paper we deal with Ulrich bundles on $F$ of rank $2$. We deal with their stability and we construct $K3$ surfaces endowed with families of non-special Ulrich bundles of rank $2$ for each $a\\ge2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-19T09:04:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "projective k3 surfaces",
      "non-special ulrich bundles",
      "non-degenerate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}