A set on which the local Lojasiewicz exponent is attained

J. Chadzynski; T. Krasinski

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A set on which the local Lojasiewicz exponent is attained

J. Chadzynski·T. Krasinski

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Abstract

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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J. Chadzynski, T. Krasinski. 1998-02-16. A set on which the local Lojasiewicz exponent is attained. https://arxiv.org/abs/math/9802072

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