• Title of article

    Computing the characteristic numbers of the variety of nodal plane cubics in

  • Author/Authors

    Xavier Hernandez، نويسنده , , Josep M. Miret، نويسنده , , Sebastià Xamb?-Descamps، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    11
  • From page
    192
  • To page
    202
  • Abstract
    In this note we obtain, phrased in present day geometric and computational frameworks, the characteristic numbers of the family of non-degenerate nodal plane cubics in , first obtained by Schubert in his Kalkül der abzählenden Geometrie. The main geometric contribution is a detailed study of a variety , which is a compactification of the family , including the boundary components (degenerations) and a generalization to of a formula of Zeuthen for nodal cubics in . The computations have been carried out with the WIRIS boost WIT.
  • Keywords
    Plane nodal curves , Characteristic numbers , Effective computational methods
  • Journal title
    Journal of Symbolic Computation
  • Serial Year
    2007
  • Journal title
    Journal of Symbolic Computation
  • Record number

    805986