Lipschitz regular complex algebraic sets are smooth
Algebraic Geometry
2014-05-08 v3
Abstract
The classical Theorem of Mumford states that a topologically regular complex algebraic surface in with an isolated singular point is smooth. We proof that any Lipschitz regular complex algebraic set is smooth. No restriction on the dimension is needed. No restriction of singularity to be isolated is needed.
Cite
@article{arxiv.1404.5678,
title = {Lipschitz regular complex algebraic sets are smooth},
author = {Lev Birbrair and Alexandre Fernandes and Edson Sampaio and Lê D. Trang},
journal= {arXiv preprint arXiv:1404.5678},
year = {2014}
}
Comments
This is a minor revision of the last version