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
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
Journal title :
Journal of Symbolic Computation