Equivariant holomorphic maps of symmetric domains

DOI10.1215/S0012-7094-87-05504-9zbMath0649.32022MaRDI QIDQ1105742

Susan L. Addington

Publication date: 1987

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

zbMATH Keywords

symplectic representationsalgebraic groups of Hermitian typeEichler mapequivariant holomorphic mapsfamilies of Abelian varieties

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Algebraic moduli of abelian varieties, classification (14K10) General properties and structure of real Lie groups (22E15) Group varieties (14L10)

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Galois representations, Mumford-Tate groups and good reduction of Abelian varieties ⋮ Fields of definition for some Hodge cycles ⋮ Characteristic classes of Kuga fiber varieties of quaternion type ⋮ Zeta functions of Kuga fiber varieties ⋮ Conjugation of Kuga fiber varieties ⋮ Theta functions on Hermitian symmetric domains and fock representations ⋮ Unnamed Item ⋮ Arithmetic classification of Kuga fiber varieties of quaternion type ⋮ Classification of Kuga fiber varieties

Cites Work

• Arithmetic subgroups of algebraic groups
• 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)
• Symplectic representations of algebraic groups satisfying a certain analyticity condition
• On the compactness of arithmetically defined homogeneous spaces
• The Field of Definition of a Variety
• Holomorphic Imbeddings of Symmetric Domains into a Siegel Space
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