Classification of Kuga fiber varieties

DOI10.1016/j.jalgebra.2022.08.021OpenAlexW3014757109MaRDI QIDQ2082623

Salman Abdulali

Publication date: 4 October 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13769

zbMATH Keywords

Mumford-Tate groupHodge groupKuga fiber variety

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Algebraic moduli of abelian varieties, classification (14K10) Modular and Shimura varieties (14G35)

Cites Work

• Topological and algebraic cycles in Kuga-Shimura varieties
• Equivariant holomorphic maps of symmetric domains
• Zeta functions of Kuga fiber varieties
• Conjugation of Kuga fiber varieties
• Conjugates of strongly equivariant maps
• La conjecture de Weil. I
• Hodge structures on abelian varieties of type III.
• On \(Q\)-structures of quasisymmetric domains
• Equivariant embeddings of Hermitian symmetric spaces
• Symplectic representations of algebraic groups satisfying a certain analyticity condition
• On the zeta function of a fibre variety whose fibres are abelian varieties
• A note of Shimura's paper: Discontinuous groups and Abelian varieties
• La conjecture de Weil pour les surfaces K3
• Abelian varieties attached to polarized \(K_3\)-surfaces
• Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
• Mumford-Tate groups of polarizable Hodge structures
• Mumford-Tate Groups and Domains
• Shimura Varieties and Moduli
• Algebraic Cycles and the Hodge Structure of a Kuga Fiber Variety
• Algebraic Cycles in Families of Abelian Varieties
• Holomorphic Imbeddings of Symmetric Domains into a Siegel Space
• Clifford Algebras and Families of Abelian Varieties
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