摘要
本文定义了一种群H,讨论了映射芽对于群H有限决定的一些充分、必要条件。特别是对齐次多项式映射芽,给出了比T.Broker更强的结果,本文用简单的方法证明了以上条件对齐次多项式函数芽也是充分的。
A kind of group H is defined and some ample and necessary conditions for finite determination of map-germ with respect to group H are discussed. A result stronger than that of T. Broker is given especially to the reflection of homogeneous polynomial germ. A simple method is used to prove that the above conditions are enough for the homogeneous polynomial germ.
关键词
映射芽
有限决定
H群
map-germ
finite determination
homogeneous polynomial germ
