On Parallel Lines and Free Group
Geometric Topology
2009-05-11 v1 Algebraic Geometry
Abstract
We show that the fundamental group of the complement of an arrangement of complex lines in the complex plane is a free group if and only if the arrangement is a union of parallel lines.
Keywords
Cite
@article{arxiv.0905.1178,
title = {On Parallel Lines and Free Group},
author = {Kwai-Man Fan},
journal= {arXiv preprint arXiv:0905.1178},
year = {2009}
}
Comments
8 pages