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Fundamental Group for some Cuspidal Curves

Jose Ignacio Cogolludo
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Abstract

We construct a family of plane curves as pull-backs of a conic for abelian coverings of P^2. If the conic is tangent to the ramification lines one obtains a family of curves of degree 2n with 3n singularities of type A_{n-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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Jose Ignacio Cogolludo. 1998-09-08. Fundamental Group for some Cuspidal Curves. https://arxiv.org/abs/math/9809041

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