IMPLICITIZATION OF SURFACES IN P3 IN THE PRESENCE OF BASE POINTS

被引：58

作者：

Buse, Laurent ^{[1
]}

Cox, David ^{[2
]}

D'Andrea, Carlos ^{[3
]}

机构：

[1] UNSA, UMR 6621, Parc Valrose,BP 71, F-06108 Nice 02, France

[2] Amherst Coll, Dept Math & Comp Sci, Amherst, MA 01002 USA

[3] Univ Calif Berkeley, Miller Inst Basic Res Sci, Berkeley, CA 94720 USA

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2003年 / 2卷 / 02期

关键词：

Implicitization; syzygies; base points;

D O I：

10.1142/S0219498803000489

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：189 / 214

页数：26

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