Conjugation of Kuga fiber varieties

DOI10.1007/BF01934323zbMath0758.14028MaRDI QIDQ1195989

Salman Abdulali

Publication date: 12 January 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164999

zbMATH Keywords

arithmetic varietyfield of definitionKuga fiber varietyclass group of a maximal orderstrong bottom field

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Algebraic theory of abelian varieties (14K05) Relevant commutative algebra (14A05)

Related Items (2)

Characteristic classes of Kuga fiber varieties of quaternion type ⋮ Classification of Kuga fiber varieties

Cites Work

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• Equivariant holomorphic maps of symmetric domains
• Fields of definition for some Hodge cycles
• Zeta functions of Kuga fiber varieties
• Hodge cycles, motives, and Shimura varieties
• Arithmetic classification of Kuga fiber varieties of quaternion type
• Class-fields and automorphic functions
• Moduli and fibre systems of abelian varieties
• On analytic families of polarized abelian varieties and automorphic functions
• On the field of definition for a field of automorphic functions
• Algebraic varieties without deformation and the Chow variety
• On the field of definition for a field of automorphic functions. III
• Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
• Density and maximality of arithmetic subgroups.

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