Rational plane curves parameterizable by conics

JOURNAL OF ALGEBRA

卷:373

Article

Cortadellas Benitez, Teresa¹  D'Andrea, Carlos¹ 

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

关键词: Rational plane curves;    Parameterizations;    Singularities;    Monoid curves;    Rees Algebra;    Implicitization;   

DOI  :  10.1016/j.jalgebra.2012.09.034

来源: Elsevier

【 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.

【 授权许可】

Free