arXiv math/06123462006-12math.GTmath.ATmath.GR

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

Meirav Amram, David Garber, Mina Teicher

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

英文摘要：

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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