{
  "id": "1707.06612",
  "version": "v1",
  "published": "2017-07-20T17:08:26.000Z",
  "updated": "2017-07-20T17:08:26.000Z",
  "title": "On deformations of pairs (manifold, coherent sheaf)",
  "authors": [
    "Donatella Iacono",
    "Marco Manetti"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We analyse infinitesimal deformations of pairs $(X,\\mathcal{F})$ with $\\mathcal{F}$ a coherent sheaf on a smooth projective manifold $X$ over an algebraic closed field of characteristic $0$. We describe a differential graded Lie algebra controlling the deformation problem, and we prove an analog of a Mukai-Artamkin Theorem about the trace map.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-20T17:08:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D15",
      "17B70",
      "18G50",
      "13D10"
    ],
    "keywords": [
      "coherent sheaf",
      "analyse infinitesimal deformations",
      "algebraic closed field",
      "trace map",
      "differential graded lie algebra controlling"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}