On plane sextics with double singular points

Abstract

We compute the fundamental groups of five maximizing sextics with double singular points only; in four cases, the groups are as expected. The approach used would apply to other sextics as well, given their equations.

A few explanations and references added

References in corpus (1)

• Oka's conjecture on irreducible plane sextics

Cited by in corpus (3)

• Geography of irreducible plane sextics
• On the Artal--Carmona--Cogolludo construction
• Parametric equations of plane sextic curves with a maximal set of double points