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.
On families of K3 surfaces with real multiplication / B. van Geemen, M. Schütt. - In: FORUM OF MATHEMATICS. SIGMA. - ISSN 2050-5094. - 13:(2025), pp. e2.1-e2.23. [10.1017/fms.2024.146]
On families of K3 surfaces with real multiplication
B. Van GeemenPrimo
;
2025
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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