Oka's conjecture on irreducible plane sextics. II

Abstract

We complete the proof of Oka's conjecture on the Alexander polynomial of an irreducible plane sextic. We also calculate the fundamental groups of irreducible sextics with a singular point adjacent to $J_{10}$.

References in corpus (4)

• Oka's conjecture on irreducible plane sextics
• Oka's conjecture on irreducible plane sextics. II
• A plane sextic with finite fundamental group
• Pencils and Infinite Dihedral covers of P^2

Cited by in corpus (16)

• Oka's conjecture on irreducible plane sextics
• Oka's conjecture on irreducible plane sextics. II
• Geography of irreducible plane sextics
• Plane sextics via dessins d'enfants
• Stable symmetries of plane sextics
• A plane sextic with finite fundamental group
• Mordell-Weil lattices and toric decompositions of plane curves
• On the Artal--Carmona--Cogolludo construction
• On plane sextics with double singular points
• Lattice Zariski k-ples of plane sextic curves and Z-splitting curves for double plane sextics
• Alexander-equivalent Zariski pairs of irreducible sextics
• Dihedral coverings of trigonal curves
• Plane sextics with a type ${\mathbf{E}}_6$ singular point
• Zariski $k$-plets via dessins d'enfants
• Apparent contours of nonsingular real cubic surfaces
• Irreducible plane sextics with large fundamental groups