Fundamental group of sextics of torus type
| dc.creator | Oka, Mutsuo | |
| dc.creator | Pho, Duc Tai | |
| dc.date | 2000-10-18 | |
| dc.date.accessioned | 2026-07-07T04:38:07Z | |
| dc.date.available | 2026-07-07T04:38:07Z | |
| dc.description | We show that the fundamental group of the complement of any irreducible tame torus sextics in $\bf P^2$ is isomorphic to $\bf Z_2*\bf Z_3$ except one class. The exceptional class has the configuration of the singularities $\{C_{3,9},3A_2\}$ and the fundamental group is bigger than $\bf Z_2*\bf Z_3$. In fact, the Alexander polynomial is given by $(t^2-t+1)^2$. For the proof, we first reduce the assertion to maximal curves and then we compute the fundamental groups for maximal tame torus curves. | |
| dc.description | 27 pages, 14 figures | |
| dc.identifier | https://arxiv.org/abs/math/0010182 | |
| dc.identifier | http://arxiv.org/abs/math/0010182 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60157 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H30,14H45,32S55 | |
| dc.title | Fundamental group of sextics of torus type | |
| dc.type | text |