Name
Abstract | ||
|---|---|---|
In this paper, we propose a new method, based on Bezoutian matrices, for computing a nontrivial multiple of the resultant over a projective variety X , which is described on an open subset by a parameterization. This construction, which generalizes the classical and toric one, also applies for instance to blowing up varieties and to residual intersection problems. We recall the classical notion of resultant over a variety X . Then we extend it to varieties which are parameterized on a dense open subset and give new conditions for the existence of the resultant over these varieties. We prove that any maximal nonzero minor of the corresponding Bezoutian matrix yields a nontrivial multiple of the resultant. We end with some experiments. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1006/jsco.1999.0304 | J. Symb. Comput. |
Keywords | DocType | Volume |
Generalized resultant,unirational algebraic variety | Journal | 29 |
Issue | ISSN | Citations |
4-5 | Journal of Symbolic Computation | 25 |
PageRank | References | Authors |
1.73 | 4 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Laurent Busé | 1 | 131 | 14.74 |
| Mohamed Elkadi | 2 | 51 | 5.76 |
| Bernard Mourrain | 3 | 1074 | 113.70 |