Fundamental groups of some quadric-line arrangements

Details Fundamental groups of some quadric-line arrangements Fundamental groups of some quadric-line arrangements

2002-08-30

arxiv.org/abs/math/0208248v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

In this paper we obtain presentations of fundamental groups of the
complements of three quadric-line 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 not in Q. The last arrangement consists
of a quadric Q with n lines passing through a point p in Q.

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