Fundamental groups of some quadric-line arrangements
TOPOLOGY AND ITS APPLICATIONS, vol.130, no.2, pp.159-173, 2003 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 130 Issue: 2
- Publication Date: 2003
- Doi Number: 10.1016/s0166-8641(02)00218-3
- Journal Name: TOPOLOGY AND ITS APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.159-173
- Open Archive Collection: AVESIS Open Access Collection
- Galatasaray University Affiliated: Yes
Abstract
In this paper we obtain presentations of fundamental groups of the complements of three quadricline arrangements in P-2. The first arrangement is a smooth quadric Q with n tangent lines to Q, and the second one is a quadric Q with n lines passing through a point p is not an element of Q. The last arrangement consists of a quadric Q with n lines passing through a point p is an element of Q. (C) 2002 Elsevier Science B.V. All rights reserved.