A set on which the local Lojasiewicz exponent is attained

Details A set on which the local Lojasiewicz exponent is attained A set on which the local Lojasiewicz exponent is attained

1998-02-16

arxiv.org/abs/math/9802072v1

Ann. Polon. Math. 67 (1997) 297-301

Mathematics

Complex Variables

4 pages, AMSTeX 2.1

Scientific paper

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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