On families of K3 surfaces with real multiplication
Algebraic Geometry
2025-01-29 v2
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.
Keywords
Cite
@article{arxiv.2310.05196,
title = {On families of K3 surfaces with real multiplication},
author = {Bert van Geemen and Matthias Schütt},
journal= {arXiv preprint arXiv:2310.05196},
year = {2025}
}
Comments
25pp; v2: typos corrected, exposition streamlined