Lipschitz geometry of complex curves
Algebraic Geometry
2015-03-17 v2
Abstract
We describe the Lipschitz geometry of complex curves. For the most part this is well known material, but we give a stronger version even of known results. In particular, we give a quick proof, without any analytic restrictions, that the outer Lipschitz geometry of a germ of a complex plane curve determines and is determined by its embedded topology. This was first proved by Pham and Teissier, but in an analytic category.
Keywords
Cite
@article{arxiv.1302.1138,
title = {Lipschitz geometry of complex curves},
author = {Walter D. Neumann and Anne Pichon},
journal= {arXiv preprint arXiv:1302.1138},
year = {2015}
}
Comments
Added acknowledgements, a reference and extra details in proof of 5.1