On the irreducibility of multivariate subresultants
| dc.creator | Busé, Laurent | |
| dc.creator | D'Andrea, Carlos | |
| dc.date | 2003-09-23 | |
| dc.date | 2003-12-11 | |
| dc.date.accessioned | 2026-07-07T05:01:22Z | |
| dc.date.available | 2026-07-07T05:01:22Z | |
| dc.description | Let $P_1,...,P_n$ be generic homogeneous polynomials in $n$ variables of degrees $d_1,...,d_n$ respectively. We prove that if $ν$ is an integer satisfying ${\sum_{i=1}^n d_i}-n+1-\min\{d_i\}<ν,$ then all multivariate subresultants associated to the family $P_1,...,P_n$ in degree $ν$ are irreducible. We show that the lower bound is sharp. As a byproduct, we get a formula for computing the residual resultant of $\binom{ρ-ν+n-1}{n-1}$ smooth isolated points in $\PP^{n-1}.$ | |
| dc.description | Updated version, 4 pages, to appear in CRAS | |
| dc.identifier | https://arxiv.org/abs/math/0309374 | |
| dc.identifier | http://arxiv.org/abs/math/0309374 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68645 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.title | On the irreducibility of multivariate subresultants | |
| dc.type | text |