{
  "id": "math/0511291",
  "version": "v1",
  "published": "2005-11-11T10:17:30.000Z",
  "updated": "2005-11-11T10:17:30.000Z",
  "title": "Determinantal ideals and monomial curves in the three-dimensional space",
  "authors": [
    "Margherita Barile"
  ],
  "journal": "J.Algebra Appl. 6 (2007), 323-336",
  "doi": "10.1142/S0219498807002272",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We show that the defining ideal of every monomial curve in the affine or projective three-dimensional space can be set-theoretically defined by three binomial equations, two of which set-theoretically define a determinantal ideal generated by the 2-minors of a $2\\times 3$ matrix with monomial entries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-11T10:17:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13C40",
      "14H50",
      "14M25"
    ],
    "keywords": [
      "monomial curve",
      "set-theoretically define",
      "projective three-dimensional space",
      "monomial entries",
      "binomial equations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11291B"
    }
  }
}