The {\L}ojasiewicz exponent of nondegenerate surface singularities
Complex Variables
2011-10-20 v1 Algebraic Geometry
Abstract
In the article we give some estimations of the {\L}ojasiewicz exponent of nondegenerate surface singularities in terms of their Newton diagrams. We also give an exact formula for the {\L}ojasiewicz exponent of such singularities in some special cases. The results are stronger than Fukui inequality [8]. It is also a multidimensional generalization of the Lenarcik theorem [13].
Keywords
Cite
@article{arxiv.1110.4273,
title = {The {\L}ojasiewicz exponent of nondegenerate surface singularities},
author = {Grzegorz Oleksik},
journal= {arXiv preprint arXiv:1110.4273},
year = {2011}
}
Comments
21 pages, 8 figures