This paper discuss the locally topological structure of higher order singular point for the plane cubic system in the first critical case and give a criterion by the coefficients ofpolynomials.
讨论了第一临界情形下的平面三次系统高次奇点的局部拓朴结构,并给出利用多项式系数的判断准则。
2
The B-net resultant ofpolynomials is defined, and its properties and the relations between it and the solutions of a system of nonlinear equations are discussed.
本文定义了多项式的B-网结式,讨论了B-网结式的性质和B-网结式与非线性方程组的解之间的关系。
3
The locally topological structure of higher order singular point for the plane quartic system in the first critical case is discussed, and a criteria by the coefficients ofpolynomials is given.