{
  "id": "math/0609551",
  "version": "v2",
  "published": "2006-09-20T10:56:04.000Z",
  "updated": "2010-04-19T02:05:51.000Z",
  "title": "Stability conditions on $A_n$-singularities",
  "authors": [
    "Akira Ishii",
    "Kazushi Ueda",
    "Hokuto Uehara"
  ],
  "comment": "43 pages, 3 figures. v2: many minor changes, published in J. Differential Geom.",
  "journal": "Journal of Differential Geometry 84 (2010) 87-126",
  "categories": [
    "math.AG",
    "math.SG"
  ],
  "abstract": "We study the spaces of locally-finite stability conditions on the derived categories of coherent sheaves on the minimal resolutions of $A_n$-singularities supported at the exceptional sets. Our main theorem is that they are connected and simply-connected. The proof is based on the study of spherical objects in math.AG/0409151 and the homological mirror symmetry for $A_n$-singularities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-19T02:05:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J17",
      "14J32",
      "18E30"
    ],
    "keywords": [
      "singularities",
      "locally-finite stability conditions",
      "minimal resolutions",
      "exceptional sets",
      "main theorem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9551I"
    }
  }
}