On algebraic families of polarized abelian varieties

DOI10.1007/BF02940876zbMath0971.14023MaRDI QIDQ1969659

Bernhard Runge

Publication date: 19 March 2000

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Shimura varietiesmoduli space of principally polarized abelian varietiesSatake compactificationSiegel upper half spaceadmissible Albert division algebra

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10) Modular and Shimura varieties (14G35) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (3)

On the one-dimensional family of Riemann surfaces of genus \(q\) with 4\(q\) automorphisms ⋮ Endomorphism rings of abelian surfaces and projective models of their moduli spaces ⋮ A Transcendence Criterion for CM on Some Families of Calabi–Yau Manifolds

Cites Work

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• Modular forms on half-spaces of quaternions
• On analytic families of polarized abelian varieties and automorphic functions
• Compactification of arithmetic quotients of bounded symmetric domains
• Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
• On Picard Modular Forms
• On Siegel modular forms. Part I.
• On Siegel modular forms part II
• On Compact Complex Analytic Varieties

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