The fundamental group's structure of the complement of some configurations of real line arrangements
| dc.creator | Garber, David | |
| dc.creator | Teicher, Mina | |
| dc.date | 2002-08-14 | |
| dc.date.accessioned | 2026-07-07T04:50:15Z | |
| dc.date.available | 2026-07-07T04:50:15Z | |
| dc.description | In this paper, we give a fully detailed exposition of computing fundamental groups of complements of line arrangements using the Moishezon-Teicher technique for computing the braid monodromy of a curve and the Van-Kampen theorem which induces a presentation of the fundamental group of the complement from the braid monodromy of the curve. For example, we treated the cases where the arrangement has t multiple intersection points and the rest are simple intersection points. In this case, the fundamental group of the complement is a direct sum of infinite cyclic groups and t free groups. Hence, the fundamental groups in these cases is ``big''. These calculations will be useful in computing the fundamental group of Hirzebruch covering surfaces. | |
| dc.description | 47 pages, 39 figures | |
| dc.identifier | https://arxiv.org/abs/math/0208113 | |
| dc.identifier | http://arxiv.org/abs/math/0208113 | |
| dc.identifier | Complex Analysis and Algebraic Geometry, Edited by T. Peternell and F.-O. Schreyer, de Gruyter, 173-223 (2000) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64723 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.title | The fundamental group's structure of the complement of some configurations of real line arrangements | |
| dc.type | text |