A note on the local Lipschitz triviality of values of complex polynomial functions
Algebraic Geometry
2019-07-22 v1 Metric Geometry
Abstract
We address the question of the bi-Lipschitz local triviality of a complex polynomial function over a complex value. Our main result state that a non constant complex polynomial admits a locally bi-Lipschitz trivial value if and only if it is a polynomial in a single complex variable.
Cite
@article{arxiv.1907.08493,
title = {A note on the local Lipschitz triviality of values of complex polynomial functions},
author = {Alexandre Fernandes and Vincent Grandjean and Humberto Soares},
journal= {arXiv preprint arXiv:1907.08493},
year = {2019}
}