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arXiv:math/9809041 [math.AG]AbstractReferencesReviewsResources

Fundamental Group for some Cuspidal Curves

Jose Ignacio Cogolludo

Published 1998-09-08Version 1

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.

Comments: 10 pages, 2 figures
Categories: math.AG
Subjects: 14H20, 14H30, 14E20
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