{
  "id": "0707.0004",
  "version": "v1",
  "published": "2007-06-29T20:07:51.000Z",
  "updated": "2007-06-29T20:07:51.000Z",
  "title": "An Algorithm to Construct A Basis for the Module of Logarithmic Vector Fields",
  "authors": [
    "Yasuhide Numata"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We consider logarithmic vector fields parametrized by finite collections of weighted hyperplanes. For a finite collection of weighted hyperplanes in a two-dimensional vector space, it is known that the set of such vector fields is a free module of rank two whose basis elements are homogeneous. We give an algorithm to construct a homogeneous basis for the module.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-29T20:07:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S22"
    ],
    "keywords": [
      "finite collection",
      "weighted hyperplanes",
      "two-dimensional vector space",
      "logarithmic vector fields",
      "basis elements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.0004N"
    }
  }
}