Determinantal resultant
| dc.creator | Buse, Laurent | |
| dc.date | 2002-09-30 | |
| dc.date.accessioned | 2026-07-07T04:51:22Z | |
| dc.date.available | 2026-07-07T04:51:22Z | |
| dc.description | In this paper, a new kind of resultant, called the determinantal resultant, is introduced. This operator computes the projection of a determinantal variety under suitable hypothesis. As a direct generalization of the resultant of a very ample vector bundle, it corresponds to a necessary and sufficient condition so that a given morphism between two vector bundles on a projective variety X has rank lower or equal to a given integer in at least one point. First some conditions are given for the existence of such a resultant and it is showed how to compute explicitly its degree. Then a result of A. Lascoux is used to obtain it as a determinant of a certain complex. Finally some more detailed results in the particular case where X is a projective space are exposed. | |
| dc.description | 26 pages, 1 figure. LaTeX2e using amsart documentclass | |
| dc.identifier | https://arxiv.org/abs/math/0209404 | |
| dc.identifier | http://arxiv.org/abs/math/0209404 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65120 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14Q20 (Primary); 14M12, 13D02 (Secondary) | |
| dc.title | Determinantal resultant | |
| dc.type | text |