{
  "id": "0704.2113",
  "version": "v1",
  "published": "2007-04-17T11:26:33.000Z",
  "updated": "2007-04-17T11:26:33.000Z",
  "title": "The Jumping Phenomenon of the Dimensions of Cohomology Groups of Tangent Sheaf",
  "authors": [
    "Xuanming Ye"
  ],
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "Let $X$ be a compact complex manifold, consider a small deformation $\\phi: \\mathcal{X} \\to B$ of $X$, the dimensions of the cohomology groups of tangent sheaf $H^q(X_t,\\mathcal{T}_{X_t})$ may vary under this deformation. This paper will study such phenomenons by studying the obstructions to deform a class in $H^q(X,\\mathcal{T}_X)$ with the parameter $t$ and get the formula for the obstructions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-17T11:26:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cohomology groups",
      "tangent sheaf",
      "jumping phenomenon",
      "dimensions",
      "compact complex manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.2113Y"
    }
  }
}