Fundamental group of sextics of torus type
Algebraic Geometry
2007-05-23 v1
Abstract
We show that the fundamental group of the complement of any irreducible tame torus sextics in is isomorphic to except one class. The exceptional class has the configuration of the singularities and the fundamental group is bigger than . In fact, the Alexander polynomial is given by . For the proof, we first reduce the assertion to maximal curves and then we compute the fundamental groups for maximal tame torus curves.
Keywords
Cite
@article{arxiv.math/0010182,
title = {Fundamental group of sextics of torus type},
author = {Mutsuo Oka and Duc Tai Pho},
journal= {arXiv preprint arXiv:math/0010182},
year = {2007}
}
Comments
27 pages, 14 figures