{
  "id": "math/0608788",
  "version": "v1",
  "published": "2006-08-31T14:49:36.000Z",
  "updated": "2006-08-31T14:49:36.000Z",
  "title": "The residue current of a codimension three complete intersection",
  "authors": [
    "Håkan Samuelsson"
  ],
  "categories": [
    "math.CV"
  ],
  "abstract": "Let $f_1$, $f_2$, and $f_3$ be holomorphic functions on a complex manifold and assume that the common zero set of the $f_j$ has maximal codimension, i.e., that it is a complete intersection. We prove that the iterated Mellin transform of the residue integral has an analytic continuation to a neighborhood of the origin in $\\mathbb{C}^3$. We prove also that the natural regularization of the residue current converges unrestrictedly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-31T14:49:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32A27",
      "32C30"
    ],
    "keywords": [
      "complete intersection",
      "common zero set",
      "residue current converges",
      "maximal codimension",
      "complex manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8788S"
    }
  }
}