Fundamental groups of symmetric sextics. II

Abstract

We study the moduli spaces and compute the fundamental groups of plane sextics of torus type with the set of inner singularities $2{\mathbf{A}}_8$ or ${\mathbf{A}}_{17}$. We also compute the fundamental groups of a number of other sextics, both of and not of torus type. The groups found are simplest possible, i.e., ${\mathbb{Z}}_2\ast {\mathbb{Z}}_3$ and ${\mathbb{Z}}_6$, respectively.

Cited by in corpus (3)

• Plane sextics via dessins d'enfants
• On plane sextics with double singular points
• Real plane sextics without real points