Name
Abstract | ||
|---|---|---|
In this paper we obtain some fundamental numbers of the family U"n"o"d of non-degenerate nodal cubics in P^3 involving, in addition to the characteristic conditions, other fundamental conditions, as for example that the node lies on a plane. Some of these numbers were first obtained by Schubert in his Kalkul der abzahlenden Geometrie. In our approach we construct several compactifications of U"n"o"d, which can be obtained as a sequence of blow-ups of a suitable projective bundle K"n"o"d. We also provide geometric interpretations of the degenerations that appear as exceptional divisors. The computations have been carried out with the Wit system. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.jsc.2009.04.003 | J. Symb. Comput. |
Keywords | DocType | Volume |
non-degenerate nodal cubics,fundamental condition,suitable projective bundle K,fundamental number,characteristic condition,Effective computational methods,geometric interpretation,family U,Intersection numbers,Kalkul der abzahlenden Geometrie,exceptional divisor,Wit system,Nodal cubics | Journal | 44 |
Issue | ISSN | Citations |
10 | Journal of Symbolic Computation | 0 |
PageRank | References | Authors |
0.34 | 1 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Josep M. Miret | 1 | 81 | 14.88 |
| Jordi Pujolàs | 2 | 24 | 5.98 |
| Kumar Saurav | 3 | 0 | 0.68 |
| Sebastià Xambó-Descamps | 4 | 2 | 1.93 |