K3 surfaces with real or complex multiplication

Matthias Schütt; Lambertus  van Geemen; Eva Bayer Fluckiger

doi:10.48550/arXiv.2401.04072

K3 surfaces with real or complex multiplication

Matthias Schütt, Lambertus van Geemen, Eva Bayer Fluckiger

Institut für Algebraische Geometrie

Publikation: Arbeitspapier/Preprint › Preprint

Abstract

Let E be a totally real number field of degree d and let m≥3 be an integer. We show that if md≤21 then there exists an m−2-dimensional family of complex projective K3 surfaces with real multiplication by E. An analogous result is proved for CM number fields.

Originalsprache	Englisch
Seitenumfang	10
DOIs	https://doi.org/10.48550/arXiv.2401.04072
Publikationsstatus	Elektronisch veröffentlicht (E-Pub) - 8 Jan. 2024

Zugriff auf Dokument

10.48550/arXiv.2401.04072Lizenz: Arxiv nonexclusive-distrib 1.0

Dieses zitieren

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