{
  "id": "math/0610422",
  "version": "v1",
  "published": "2006-10-12T23:08:02.000Z",
  "updated": "2006-10-12T23:08:02.000Z",
  "title": "Cohomology of rational forms and a vanishing theorem on toric varieties",
  "authors": [
    "Anvar Mavlyutov"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We explicitly describe cohomology of the sheaf of differential forms with poles along a semiample divisor on a complete simplicial toric variety. As an application, we obtain a new vanishing theorem which is an analogue of the Bott-Steenbrink-Danilov vanishing theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-12T23:08:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25"
    ],
    "keywords": [
      "rational forms",
      "cohomology",
      "complete simplicial toric variety",
      "semiample divisor",
      "differential forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10422M"
    }
  }
}