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.
Description
[2310.05196] On families of K3 surfaces with real multiplication
%0 Generic
%1 vangeemen2023families
%A van Geemen, Bert
%A Schütt, Matthias
%D 2023
%K k3 real-multiplication
%T On families of K3 surfaces with real multiplication
%U http://arxiv.org/abs/2310.05196
%X 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.
@misc{vangeemen2023families,
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.},
added-at = {2023-10-10T15:43:04.000+0200},
author = {van Geemen, Bert and Schütt, Matthias},
biburl = {https://www.bibsonomy.org/bibtex/2a27d11bac4dc2a518cc7e0b477ec65dc/amathematician},
description = {[2310.05196] On families of K3 surfaces with real multiplication},
interhash = {dd699333e00f22fdaa103254e62f623d},
intrahash = {a27d11bac4dc2a518cc7e0b477ec65dc},
keywords = {k3 real-multiplication},
note = {cite arxiv:2310.05196Comment: 24pp},
timestamp = {2023-10-10T15:43:04.000+0200},
title = {On families of K3 surfaces with real multiplication},
url = {http://arxiv.org/abs/2310.05196},
year = 2023
}