{
  "id": "math/0312301",
  "version": "v1",
  "published": "2003-12-16T02:25:38.000Z",
  "updated": "2003-12-16T02:25:38.000Z",
  "title": "Intersection of ACM-curves in P^3",
  "authors": [
    "R. M. Miro-Roig",
    "K. Ranestad"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "In this note we address the problem of determining the maximum number of points of intersection of two arithmetically Cohen-Macaulay curves in $\\PP^3$. We give a sharp upper bound for the maximum number of points of intersection of two irreducible arithmetically Cohen-Macaulay curves $C_t$ and $C_{t-r}$ in $\\PP^3$ defined by the maximal minors of a $t \\times (t+1)$, resp. $(t-r) \\times (t-r+1)$, matrix with linear entries, provided $C_{t-r}$ has no linear series of degree $d\\leq{{t-r+1}\\choose 3}$ and dimension $n\\geq t-r$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-16T02:25:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C17",
      "14H45"
    ],
    "keywords": [
      "intersection",
      "maximum number",
      "acm-curves",
      "sharp upper bound",
      "linear series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12301M"
    }
  }
}