{
  "id": "math/9806147",
  "version": "v1",
  "published": "1998-06-26T15:35:25.000Z",
  "updated": "1998-06-26T15:35:25.000Z",
  "title": "Monads on projective space",
  "authors": [
    "Gunnar Floystad"
  ],
  "comment": "Latex 2e, 9 pages",
  "journal": "Communications in algebra, 28 (2000), no.12, p.5503-5516",
  "doi": "10.1080/00927870008827171",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "This is a little investigation into the classification of complexes of direct sums of line bundles on projective spaces. We consider complexes on projective k-space Pk : O_Pk(-1)^a --> O_Pk^b --> O_Pk(1)^c, with the first map injective and the second map surjective. This is called a monad. We classify completely when such monads exist. Furthermore, whenever it exists we show that the first map may be assumed to degenerate in expected codimension, which is b-a-c+1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-06-26T15:35:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13D25",
      "14F05"
    ],
    "keywords": [
      "projective space",
      "projective k-space pk",
      "little investigation",
      "direct sums",
      "line bundles"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......6147F"
    }
  }
}