Fundamental Group for some Cuspidal Curves
代数几何
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/9809041,
title = {Fundamental Group for some Cuspidal Curves},
author = {Jose Ignacio Cogolludo},
journal= {arXiv preprint arXiv:math/9809041},
year = {2007}
}
备注
10 pages, 2 figures