On families of K3 surfaces with real multiplication

Abstract

We exhibit large families of K3 surfaces with real multiplication, both abstractly using lattice theory, the Torelli theorem and the surjectivity of the period map, as well as explicitly using dihedral covers and isogenies.

25pp; v2: typos corrected, exposition streamlined

References in corpus (3)

• Dihedral Galois covers of algebraic varieties and the simple cases
• K3 surfaces with real or complex multiplication
• K3 surfaces with maximal complex multiplication