Xavier Hernández, Josep M. Miret and Sebastian Xambó-Descamps

Completing Hermann Schubert's work on the enumerative geometry of cuspidal cubics in P3
Special issue in honor of Steven L. Kleiman.
Comm. Algebra 31 (2003), no. 8, 4037--4068.

MR2007395 (2005b:14094).

From the MR review: "Schubert's tables of [fundamental] numbers [concerning cuspidal cubics] represent only a small fraction of all the fundamental numbers. The authors have undertaken the project of completing Schubert's work. This involves phrasing the arguments in the language of modern algebraic geometry. Using a succession of parameter spaces and ultimately a space Kcusp, they verify that Schubert's 13 degenerations represent all the codimension 1 components of Kcusp. An algorithm iteratively expresses a fundamental number in terms of intersection numbers on the various degenerations."


© S. Xambó
Last revised: 16.7.2012