Zariski $k$-plets via dessins d'enfants
Algebraic Geometry
2009-07-02 v2
Abstract
We construct exponentially large collections of pairwise distinct equisingular deformation families of irreducible plane curves sharing the same sets of singularities. The fundamental groups of all curves constructed are abelian.
Cite
@article{arxiv.0710.0279,
title = {Zariski $k$-plets via dessins d'enfants},
author = {Alex Degtyarev},
journal= {arXiv preprint arXiv:0710.0279},
year = {2009}
}
Comments
Final version accepted for publication