Fundamental groups of some quadric-line arrangements

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Amram M., Teicher M., Uludag A.

TOPOLOGY AND ITS APPLICATIONS, vol.130, no.2, pp.159-173, 2003 (SCI-Expanded) identifier identifier

  • 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
  • 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.