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On families of K3 surfaces with real multiplication

Authors :
van Geemen, Bert
Schütt, Matthias
Source :
Forum of Mathematics, Sigma 13 (2025) e2
Publication Year :
2023

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.<br />Comment: 25pp; v2: typos corrected, exposition streamlined

Subjects

Subjects :
Mathematics - Algebraic Geometry

Details

Database :
arXiv
Journal :
Forum of Mathematics, Sigma 13 (2025) e2
Publication Type :
Report
Accession number :
edsarx.2310.05196
Document Type :
Working Paper
Full Text :
https://doi.org/10.1017/fms.2024.146