Full paper in PDF:
$%M. Amram and M. Teicher, Fundamental groups of some special quadric arrangements, Rev. Mat. Complut. 19 (2006), no. 2, 259276.%$

Fundamental Groups of Some Special Quadric Arrangements
Meirav AMRAM and Mina TEICHER
Einstein Mathematics Institute
The Hebrew University
Jerusalem Israel
Department of Mathematics
Bar-Ilan University
Ramat-Gan Israel

Received: June 2, 1005
Accepted: January 1, 2006

ABSTRACT

Continuing our work on the fundamental groups of conic-line arrangements (Amram et al., 2003), we obtain presentations of fundamental groups of the complements of three families of quadric arrangements in  2
P  . The first arrangement is a union of n  conics, which are tangent to each other at two common points. The second arrangement is composed of n  quadrics which are tangent to each other at one common point. The third arrangement is composed of n  quadrics, n -1  of them are tangent to the n  th one and each one of the n -1  quadrics is transversal to the other n- 2  ones.

Key words: fundamental groups, complement of curve, conic arrangement.
2000 Mathematics Subject Classication:
14H20, 14H30, 14Q05.