Zeta functions of Kuga fiber varieties

DOI10.1215/S0012-7094-88-05715-8zbMath0666.14005MaRDI QIDQ1116994

Salman Abdulali

Publication date: 1988

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

zeta functionsabsolute Hodge cyclesabelian varieties of Kuga's typeproduct of two Shimura curves

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Algebraic theory of abelian varieties (14K05)

Related Items

Fields of definition for some Hodge cycles ⋮ Conjugation of Kuga fiber varieties ⋮ Arithmetic classification of Kuga fiber varieties of quaternion type ⋮ Classification of Kuga fiber varieties

Cites Work

• Equivariant holomorphic maps of symmetric domains
• On the zeta function of a fibre variety whose fibres are abelian varieties
• A note of Shimura's paper: Discontinuous groups and Abelian varieties
• Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
• On the Zeta-Functions of Some Simple Shimura Varieties
• Density and maximality of arithmetic subgroups.
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