Published Volumes RMC
Volume 19 num. 2
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 |
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
. 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.