K3 surfaces with real or complex multiplication

Publikation: Arbeitspapier/PreprintPreprint

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  • École polytechnique fédérale de Lausanne (EPFL)
  • University of Milano-Bicocca
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OriginalspracheEnglisch
Seitenumfang10
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 8 Jan. 2024

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.

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K3 surfaces with real or complex multiplication. / Schütt, Matthias; van Geemen, Lambertus ; Bayer Fluckiger, Eva.
2024.

Publikation: Arbeitspapier/PreprintPreprint

Schütt, M., van Geemen, L., & Bayer Fluckiger, E. (2024). K3 surfaces with real or complex multiplication. Vorabveröffentlichung online. https://arxiv.org/abs/2401.04072
Schütt M, van Geemen L, Bayer Fluckiger E. K3 surfaces with real or complex multiplication. 2024 Jan 8. Epub 2024 Jan 8.
Schütt, Matthias ; van Geemen, Lambertus ; Bayer Fluckiger, Eva. / K3 surfaces with real or complex multiplication. 2024.
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