Implicitization of surfaces in P^3 in the presence of base points
Algebraic Geometry
2007-05-23 v4 Commutative Algebra
Abstract
We show that the method of moving quadrics for implicitizing surfaces in P^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.
Cite
@article{arxiv.math/0205251,
title = {Implicitization of surfaces in P^3 in the presence of base points},
author = {Laurent Buse and David Cox and Carlos D'Andrea},
journal= {arXiv preprint arXiv:math/0205251},
year = {2007}
}
Comments
27 pages. Revised version. Accepted for publication in the Journal of Algebra and its Applications