English

Plane sextics via dessins d'enfants

Algebraic Geometry 2014-11-11 v2

Abstract

We develop a geometric approach to the study of plane sextics with a triple singular point. As an application, we give an explicit geometric description of all irreducible maximal sextics with a type E7\bold E_7 singular point and compute their fundamental groups. All groups found are finite; one of them is nonabelian.

Keywords

Cite

@article{arxiv.0812.3258,
  title  = {Plane sextics via dessins d'enfants},
  author = {Alex Degtyarev},
  journal= {arXiv preprint arXiv:0812.3258},
  year   = {2014}
}

Comments

a few points clarified; final version accepted for publication

R2 v1 2026-06-21T11:53:02.564Z