On the complex \L ojasiewicz inequality with parameter
Complex Variables
2014-06-09 v1 Algebraic Geometry
Abstract
We prove a continuity property in the sense of currents of a continuous family of holomorphic functions which allows us to obtain a \L ojasiewicz inequality with an effective exponent independent of the parameter.
Cite
@article{arxiv.1406.1700,
title = {On the complex \L ojasiewicz inequality with parameter},
author = {Maciej P. Denkowski},
journal= {arXiv preprint arXiv:1406.1700},
year = {2014}
}