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
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