Dihedral coverings of trigonal curves

Abstract

We classify and study trigonal curves in Hirzebruch surfaces admitting dihedral Galois coverings. As a consequence, we obtain certain restrictions on the fundamental group of a plane curve~$D$ with a singular point of multiplicity $(°D-3)$.

References in corpus (5)

• Oka's conjecture on irreducible plane sextics
• Oka's conjecture on irreducible plane sextics. II
• Pencils and Infinite Dihedral covers of P^2
• Lattice Zariski k-ples of plane sextic curves and Z-splitting curves for double plane sextics
• Splitting curves on a rational ruled surface, the Mordell-Weil groups of hyperelliptic fibrations and Zariski pairs