Conjugations of arithmetic automorphic function fields

DOI10.1007/BF01389904zbMath0405.14023MaRDI QIDQ1257058

Kuang-yen Shih

Publication date: 1978

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142521

zbMATH Keywords

Moduli SpaceAlgebraic Group over QuaternionsAutomorphic Function FieldsCanonical ModelsPel-StructureQuaternion Algebra

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Galois representations (11F80) Classical groups (algebro-geometric aspects) (14L35) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Cites Work

• Anti-holomorphic automorphisms of arithmetic automorphic function fields
• Moduli and fibre systems of abelian varieties
• On analytic families of polarized abelian varieties and automorphic functions
• Discontinuous groups and abelian varieties
• On the field of definition for a field of automorphic functions
• Construction of class fields and zeta functions of algebraic curves
• Algebraic number fields and symplectic discontinuous groups
• Models of certain automorphic function fields
• On the algebraic curves uniformized by arithmetical automorphic functions
• On canonical models of arithmetic quotients of bounded symmetric domains

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