TWO MODULI SPACES OF ABELIAN FOURFOLDS WITH AN AUTOMORPHISM OF ORDER FIVE

DOI10.1142/S0129167X1250108XzbMath1257.14020arXiv1010.3897OpenAlexW2054949865MaRDI QIDQ4902697

Bert van Geemen, Matthias Schütt

Publication date: 17 January 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3897

zbMATH Keywords

automorphismmoduli spacezeta functionShimura varietyHilbert modular surfaceL-seriesabelian fourfold

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18) Surfaces of general type (14J29) Modular and Shimura varieties (14G35) Group varieties (14L10)

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Cites Work

• Siegel modular forms and finite symplectic groups
• \(K3\) surfaces with Picard rank 20
• On the geometry and arithmetic of some Siegel modular threefolds
• Motivic orthogonal two-dimensional representations of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\)
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