Full paper in PDF:
$%M. Amram and M. Teicher, Fundamental groups of some special quadric arrangements,
Rev. Mat. Complut. 19 (2006), no. 2, 259–276.%$
Einstein Mathematics Institute The Hebrew University Jerusalem — Israel | Department of Mathematics Bar-Ilan University Ramat-Gan — Israel |
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 . The first arrangement is a union of conics, which are tangent to each other at two common points. The second arrangement is composed of quadrics which are tangent to each other at one common point. The third arrangement is composed of quadrics, of them are tangent to the th one and each one of the quadrics is transversal to the other ones.
Key words: fundamental groups, complement of curve, conic arrangement.
2000 Mathematics Subject Classication: 14H20, 14H30, 14Q05.