On arithmetic Zariski pairs in degree 6

Abstract

We define a topological invariant of complex projective plane curves. As an application, we present new examples of arithmetic Zariski pairs.

18 pages, a correction in Introduction

References in corpus (1)

• Transcendental lattices and supersingular reduction lattices of a singular $K3$ surface

Cited by in corpus (3)

• Non-homeomorphic conjugate complex varieties
• Transcendental lattices and supersingular reduction lattices of a singular $K3$ surface
• Zariski $k$-plets via dessins d'enfants