Arithmetic classification of Kuga fiber varieties of quaternion type

DOI10.1215/S0012-7094-89-05821-3zbMath0686.14047OpenAlexW1498607463MaRDI QIDQ1262369

Monica Petri

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-89-05821-3

zbMATH Keywords

fields of definitionbottom fieldfamilies of abelian varietiesKuga fiber varieties

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10) Global ground fields in algebraic geometry (14G25) Totally real fields (11R80)

Related Items (2)

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

Cites Work

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• On the theory of automorphic functions
• Equivariant holomorphic maps of symmetric domains
• Zeta functions of Kuga fiber varieties
• Arithmétique des algèbres de quaternions
• Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
• Class-fields and automorphic functions
• A note of Shimura's paper: Discontinuous groups and Abelian varieties
• On the field of definition for a field of automorphic functions
• Algebraic varieties without deformation and the Chow variety
• Density and maximality of arithmetic subgroups.
• On the Structure of a Certain Class of Kaehler Varieties

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