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arXiv · 2310.05196

On families of K3 surfaces with real multiplication

Bert van Geemen·Matthias Schütt
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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.

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Bert van Geemen, Matthias Schütt. 2023-10-08. On families of K3 surfaces with real multiplication. https://doi.org/10.1017/fms.2024.146

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