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 this article
Alex Degtyarev, Zariski <var>k</var>-plets via dessins d’enfants. Comment. Math. Helv. 84 (2009), no. 3, pp. 639–671DOI 10.4171/CMH/176