A set on which the local Lojasiewicz exponent is attained

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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}.
4 pages, AMSTeX 2.1

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Complex Variables, 32S05

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http://salesiana.dossiersoluciones.com/handle/123456789/76612

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9802072
 http://arxiv.org/abs/math/9802072
 Ann. Polon. Math. 67 (1997) 297-301

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arXiv