齐次多项式判别式的计算方法
A computational approach to the discriminant of homogeneous polynomials
摘要：
本文研究了两种特殊情况下齐次多项式的判别式：单个齐次多项式和n-1个n元齐次多项式集合。在这两种情况下，判别式定义在一个大类的系数环的结果。许多形式的属性和计算规则提供和几何解释的判别式的一般系数环，通常是一个域。
英文摘要：
In this paper, the discriminant of homogeneous polynomials is studied in two particular cases: a single homogeneous polynomial and a collection of n-1 homogeneous polynomials in n variables. In these two cases, the discriminant is defined over a large class of coefficient rings by means of the resultant. Many formal properties and computational rules are provided and the geometric interpretation of the discriminant is investigated over a general coefficient ring, typically a domain.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
