多元多项式齐次方程组的一个解法

A CONSTRUCTION IN SOLVING SYSTEMS OF HOMOGENEOUS EQUATIONS OF MULTIVARIATE-POLYNOMIALS

本文对多元多项式齐次方程组给出一种解法，并给出其解子模的基所含向量的个数在最坏情况时的下界。

This paper shows how to construct a K[x1,…,xn]-submodule basis for the solutions { (g1,…,gs)}of a system of homogeneous equations fi1g1+…+ fisgs=0,i=1 ,…,r,fij ∈ K[x1…,xn] .A lower bound of the number of elements in such basis is given.