A plane sextic with finite fundamental group

Abstract

We analyze irreducible plane sextics whose fundamental group factors to $D_{14}$. We produce explicit equations for all curves and show that, in the simplest case of the set of singularities $3A_6$, the group is $D_{14}\times Z_3$.

References in corpus (2)

• Oka's conjecture on irreducible plane sextics
• Oka's conjecture on irreducible plane sextics. II

Cited by in corpus (4)

• Oka's conjecture on irreducible plane sextics
• Oka's conjecture on irreducible plane sextics. II
• Plane sextics via dessins d'enfants
• Stable symmetries of plane sextics