Rational plane curves parameterizable by conics

被引：12

作者：

Cortadellas Benitez, Teresa ^{[1
]}

D'Andrea, Carlos ^{[1
]}

机构：

[1] Univ Barcelona, Dept Algebra & Geometria, E-08007 Barcelona, Spain

来源：

JOURNAL OF ALGEBRA | 2013年 / 373卷

关键词：

Rational plane curves; Parameterizations; Singularities; Monoid curves; Rees Algebra; Implicitization; REES ALGEBRA; DEFINING EQUATIONS; MOVING LINE; IMPLICITIZATION; IDEAL; SURFACES; POINTS;

D O I：

10.1016/j.jalgebra.2012.09.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the class of rational plane curves parameterizable by conics as an extension of the family of curves parameterizable by lines (also known as monoid curves). We show that they are the image of monoid curves via suitable quadratic transformations in projective plane. We also describe all the possible proper parameterizations of them, and a set of minimal generators of the Rees Algebra associated to these parameterizations, extending well-known results for curves parameterizable by lines. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：453 / 480

页数：28

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