Computing the characteristic numbers of the variety of nodal plane cubics in P3

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 P3, 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 P3 of a formula of Zeuthen for nodal cubics in P2. The computations have been carried out with the Wiris boost WIT.