{
  "id": "0712.2207",
  "version": "v8",
  "published": "2007-12-13T18:32:45.000Z",
  "updated": "2008-08-21T13:02:46.000Z",
  "title": "Chern classes in Deligne cohomology for coherent analytic sheaves",
  "authors": [
    "Julien Grivaux"
  ],
  "comment": "Minor changes",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this article, we construct Chern classes in rational Deligne cohomology for coherent sheaves on a smooth complex compact manifold. We prove that these classes verify the functoriality property under pullbacks, the Whitney formula and the Grothendieck-Riemann-Roch theorem for projective morphisms between smooth complex compact manifolds.",
  "revisions": [
    {
      "version": "v8",
      "updated": "2008-08-21T13:02:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14F43"
    ],
    "keywords": [
      "coherent analytic sheaves",
      "smooth complex compact manifold",
      "rational deligne cohomology",
      "functoriality property",
      "grothendieck-riemann-roch theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.2207G"
    }
  }
}