The characteristic numbers of the variety of P3
Tipo de documentoArtículo
Fecha de publicación2005
Condiciones de accesoAcceso abierto
In this note we obtain, phrased in present day geometric and computational frameworks, the characteristic numbers of the family Unod of non–degenerate nodal plane cubics in P3, first obtained by Schubert in his Kalk¨ul der abz¨ahlenden Geometrie. The main geometric contribution is a detailed study of a variety Xnod, which is a compactification of the family Unod, including the boundary components (degenerations) and a generalization to P3 of a formula of Zeuthen for nodal cubics in P2. The computations have been carried out with the OmegaMath intersection theory module WIT.