On the fundamental group of the complement of two tangent conics and an arbitrary number of tangent lines

Details On the fundamental group of the complement of two tangent conics and an arbitrary number of tangent lines On the fundamental group of the complement of two tangent conics and an arbitrary number of tangent lines

2006-12-13

arxiv.org/abs/math/0612346v2

Mathematics

Geometric Topology

47 pages, 18 figures; Entirely revised version. A critical problem was corrected; submitted

Scientific paper

We compute the fundamental groups of the complements of the family of real
conic-line arrangements with up to two conics which are tangent to each other
at two points, with an arbitrary number of tangent lines to both conics. All
the resulting groups turn out to be big.

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