Implicitization of surfaces in the projective space in the presence of base points - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Journal of Algebra and Its Applications Year : 2003

Implicitization of surfaces in the projective space in the presence of base points

Abstract

We show that the method of moving quadrics for implicitizing surfaces in $\PP^3$ applies in certain cases where base points are present. However, if the ideal defined by the parametrization is saturated, then this method rarely applies. Instead, we show that when the base points are a local complete intersection, the implicit equation can be computed as the resultant of the first syzygies.
Fichier principal
Vignette du fichier
bcd.pdf (296.79 Ko) Télécharger le fichier
Loading...

Dates and versions

inria-00098684 , version 1 (25-09-2006)

Identifiers

  • HAL Id : inria-00098684 , version 1

Cite

Laurent Busé, David Cox, Carlos d'Andrea. Implicitization of surfaces in the projective space in the presence of base points. Journal of Algebra and Its Applications, 2003, 2 (2), pp.189--214. ⟨inria-00098684⟩
135 View
156 Download

Share

Gmail Facebook Twitter LinkedIn More