Equations, inequations and inequalities characterizing the configurations of two real projective conics

被引：7
|
作者：
Briand, Emmanuel [1 ]
机构：
[1] Univ Cantabria, Dpto Matemat Estadist & Computac, E-39005 Santander, Spain
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2007年 / 18卷 / 1-2期
关键词：
arrangements of conics; rigid isotopy; relative position of two conics; classical invariant theory;
D O I：
10.1007/s00200-006-0023-8
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Couples of proper, non-empty real projective conics can be classified modulo rigid isotopy and ambient isotopy. We characterize the classes by equations, inequations and inequalities in the coefficients of the quadratic forms defining the conics. The results are well-adapted to the study of the relative position of two conics defined by equations depending on parameters.
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页码：21 / 52
页数：32
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