On the bi-Lipschitz contact equivalence of plane complex function-germs
Algebraic Geometry
2014-01-23 v2
Abstract
In this short note, we consider the problem of bi-Lipschitz contact equivalence of complex analytic function-germs of two variables. It is inquiring about the infinitesimal sizes of such function-germs, up to bi-Lipschitz changes of coordinates. We show that this problem is equivalent to the problem of the right topological classification.
Keywords
Cite
@article{arxiv.1308.4933,
title = {On the bi-Lipschitz contact equivalence of plane complex function-germs},
author = {Lev Birbrair and Alexandre Fernandes and Vincent Grandjean},
journal= {arXiv preprint arXiv:1308.4933},
year = {2014}
}
Comments
The second version is substantially modified. 1) We have dropped section 5 of the first version. 2) The introduction is slightly modified. 3) Section 3 has been augmented with a correct statement of its main result (now referred as) Theorem 3.6. as a consequence of new Lemmas 3.1 and 3.2. Is also now given a proof of Proposition 3.7