局部Lojasiewicz指数可达的集合
A set on which the local Lojasiewicz exponent is attained
摘要:
设U是0 \in C^n的邻域,我们证明了对全纯映射F =(f_1,.,f_m):U -> C^m,F(0)= 0,则F在0处的Lojasiewicz指数在集合{z \in U:f_1(z). f_m(z)= 0}。
英文摘要:
Let U be a neighbourhood of 0 \in C^n.We show that for a holomorphic mapping F = (f_1,...,f_m) : U -> C^m, F(0) = 0, the Lojasiewicz exponent of F at 0 is attained on the set {z \in U : f_1(z)...f_m(z) = 0}.
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