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arxiv: math/9809041 · v1 · submitted 1998-09-08 · 🧮 math.AG

Fundamental Group for some Cuspidal Curves

classification 🧮 math.AG
keywords curvesfamilyconicfundamentalgroupsomeabelianalexander
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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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