A set on which the local Lojasiewicz exponent is attained
Complex Variables
2007-05-23 v1
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}.
Cite
@article{arxiv.math/9802072,
title = {A set on which the local Lojasiewicz exponent is attained},
author = {J. Chadzynski and T. Krasinski},
journal= {arXiv preprint arXiv:math/9802072},
year = {2007}
}
Comments
4 pages, AMSTeX 2.1