Fundamental Group for some Cuspidal Curves
Abstract
We construct a family of plane curves as pull-backs of a conic for abelian coverings of P2. If the conic is tangent to the ramification lines one obtains a family of curves of degree 2n with 3n singularities of type An-1. We calculate the fundamental group and Alexander polynomial for any member of this family and for some deformations of it.
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