JournalscmhVol. 84 , No. 3DOI 10.4171/cmh/176

Zariski <var>k</var>-plets via dessins d&#8217;enfants

  • Alex Degtyarev

    Bilkent University, Ankara, Turkey
Zariski <var>k</var>-plets via dessins d&#8217;enfants cover

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.