欧氏空间中二次超曲面的特征流形和半不变量

The charcteristic Varicty and the hemi-invariant of the Conicoid in E^n

本文引入半向量的概念,利用它,导出一个用已知二次方程()0,,1=nxxaL中的系数表达的不变向量b。从而我们将‘中心方程组’推广为‘定位方程组’。若用*S记其解集所示轨迹,称为曲面的特征流形,则可证明()constxxaSn=*,。

In this paper, We introduce the concept of the hemi-invariant, with the help of it, We derive a invariant Vector bformulated by the given conincoid S, heresy, We generalized the classical centre抯 system of equation to the fix-position抯 system of equation. if we denote by *Sthe locus that express the set of the solation, call it the characteristic varicty of S, then it抯 may verify that ()constxxaSn=*,,1L