Non-homeomorphic conjugate complex varieties

Abstract

We present a method to produce examples of non-homeomorphic conjugate complex varieties based on the genus theory of lattices. As an application, we give examples of arithmetic Zariski pairs.

11 pages

References in corpus (4)

• Transcendental lattices and supersingular reduction lattices of a singular $K3$ surface
• On arithmetic Zariski pairs in degree 6
• On normal K3 surfaces
• On deformations of singular plane sextics

Cited by in corpus (6)

• Transcendental lattices and supersingular reduction lattices of a singular $K3$ surface
• Lattice Zariski k-ples of plane sextic curves and Z-splitting curves for double plane sextics
• Zariski-van Kampen method and transcendental lattices of certain singular K3 surfaces
• Discriminantal groups and Zariski pairs of sextic curves
• Some open questions on arithmetic Zariski pairs
• Zariski $k$-plets via dessins d'enfants