{
  "id": "math/0503501",
  "version": "v1",
  "published": "2005-03-23T18:06:05.000Z",
  "updated": "2005-03-23T18:06:05.000Z",
  "title": "Resolutions for Equivariant Sheaves over Toric Varieties",
  "authors": [
    "Markus Perling"
  ],
  "comment": "preliminary version only; 48 pages, requires packages ams*, graphicx, enumerate, xy, epsfig",
  "categories": [
    "math.AG",
    "math.AC",
    "math.CO"
  ],
  "abstract": "In this work we construct global resolutions for general coherent equivariant sheaves over toric varieties. For this, we use the framework of sheaves over posets. We develop a notion of gluing of posets and of sheaves over posets, which we apply to construct global resolutions for equivariant sheaves. Our constructions give a natural correspondence between resolutions for reflexive equivariant sheaves and free resolutions of vector space arrangements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-23T18:06:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "18F20"
    ],
    "keywords": [
      "toric varieties",
      "construct global resolutions",
      "general coherent equivariant sheaves",
      "vector space arrangements",
      "free resolutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3501P"
    }
  }
}