Fundamental Group for some Cuspidal Curves

Details Fundamental Group for some Cuspidal Curves Fundamental Group for some Cuspidal Curves

1998-09-08

arxiv.org/abs/math/9809041v1

Mathematics

Algebraic Geometry

10 pages, 2 figures

Scientific paper

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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