{
  "id": "math/0506447",
  "version": "v3",
  "published": "2005-06-22T12:20:22.000Z",
  "updated": "2005-08-24T20:21:17.000Z",
  "title": "Unstable products of smooth curves",
  "authors": [
    "J. Ross"
  ],
  "comment": "Added implications for unstable Hilbert and Chow points; typos corrected",
  "doi": "10.1007/s00222-005-0490-8",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "We give examples of smooth surfaces with negative first Chern class which are slope unstable with respect to certain polarisations, and so have Kahler classes that do not admit any constant scalar curvature Kahler metrics. We also compare this to the work of Song-Weinkove on the J-flow.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-08-24T20:21:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L24",
      "32Q15"
    ],
    "keywords": [
      "smooth curves",
      "unstable products",
      "constant scalar curvature kahler metrics",
      "kahler classes",
      "negative first chern class"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2006,
      "month": "Jan",
      "volume": 165,
      "number": 1,
      "pages": 153
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006InMat.165..153R"
    }
  }
}