On families of K3 surfaces with real multiplication

Fuente: arXiv
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Auteurs principaux: van Geemen, Bert, Schütt, Matthias
Format: Preprint
Publié: 2023
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author van Geemen, Bert
Schütt, Matthias
author_facet van Geemen, Bert
Schütt, Matthias
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_05196
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On families of K3 surfaces with real multiplication
van Geemen, Bert
Schütt, Matthias
Algebraic Geometry
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.
title On families of K3 surfaces with real multiplication
topic Algebraic Geometry
url https://arxiv.org/abs/2310.05196