Equations of Parametric Surfaces with Base Points via Syzygies
| dc.creator | Adkins, William | |
| dc.creator | Hoffman, J. William | |
| dc.creator | Wang, Hao Hao | |
| dc.date | 2003-06-11 | |
| dc.date | 2003-07-24 | |
| dc.date.accessioned | 2026-07-07T04:58:55Z | |
| dc.date.available | 2026-07-07T04:58:55Z | |
| dc.description | Let $S$ be a parametric surface in $\proj{3}$ given as the image of $ϕ: \proj{1} \times \proj{1} \to \proj{3}$. This paper will show that the use of syzygies in the form of a combination of moving planes and moving quadrics provides a valid method for finding the implicit equation of $S$ when certain base points are present. This work extends the algorithm provided by Cox for when $ϕ$ has no base points, and it is an analogous to some of the results of Busé, Cox and D'Andrea for the case when $ϕ: \proj{2} \to \proj{3}$ has base points. | |
| dc.description | 22 pages. Revised version adds proofs that were originally quoted from Hoffman and Wang (arxiv.,org/abs/math.AG/0305125). The paper of Hoffman and Wang has now been withdrawn | |
| dc.identifier | https://arxiv.org/abs/math/0306195 | |
| dc.identifier | http://arxiv.org/abs/math/0306195 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67778 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14Q10; 13D02; 14Q05 | |
| dc.title | Equations of Parametric Surfaces with Base Points via Syzygies | |
| dc.type | text |