{
  "id": "math/0102016",
  "version": "v1",
  "published": "2001-02-02T13:01:59.000Z",
  "updated": "2001-02-02T13:01:59.000Z",
  "title": "Parabolic vector bundles and equivariant vector bundles",
  "authors": [
    "Ignasi Mundet i Riera"
  ],
  "comment": "46 pages, 1 figure",
  "categories": [
    "math.AG"
  ],
  "abstract": "Given a complex manifold $X$, a normal crossing divisor $D\\subset X$ whose irreducible components $D_1,...,D_s$ are smooth, and a choice of natural numbers $r=(r_1,...,r_s)$, we construct a manifold $X(D,\\ur)$ with an action of a torus $\\Gamma$ and we prove that some full subcategory of the category of $\\Gamma$-equivariant vector bundles on $X(D,r)$ is equivalent to the category of parabolic vector bundles on $(X,D)$ in which the lengths of the filtrations over each irreducible component of $X$ are given by $r$. When $X$ is Kaehler, we study the Kaehler cone of $X(D,r)$ and the relation between the corresponding notions of slope-stability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-02-02T13:01:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20",
      "14F05"
    ],
    "keywords": [
      "equivariant vector bundles",
      "parabolic vector bundles",
      "irreducible component",
      "normal crossing divisor",
      "natural numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 46,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......2016R"
    }
  }
}