On Motivic Realizations of the Canonical Hermitian Variations of Hodge Structure of Calabi–Yau Type over type Domains

DOI10.4153/CMB-2017-083-5zbMath1441.14041OpenAlexW2776033890MaRDI QIDQ3121328

Zheng Zhang

Publication date: 15 March 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2017-083-5

zbMATH Keywords

variations of Hodge structureHermitian symmetric domain

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07)

Cites Work

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• Semialgebraic horizontal subvarieties of Calabi-Yau type
• Polarized variation of Hodge structures of Calabi-Yau type and characteristic subvarieties over bounded symmetric domains
• Cyclic coverings, Calabi-Yau manifolds and complex multiplication
• Quaternionic Pryms and Hodge classes
• Hodge structures on abelian varieties of type III.
• A remark on tube domains
• A realization for a \(\mathbb{Q}\)-Hermitian variation of Hodge structure of Calabi-Yau type with real multiplication
• On some Hermitian variations of Hodge structure of Calabi-Yau type with real multiplication
• Mumford-Tate Groups and Domains
• Irreducible J-decompositions of the Lie algebras Apn-1
• Shimura Varieties and Moduli
• Symmetry, Representations, and Invariants
• Holomorphic Imbeddings of Symmetric Domains into a Siegel Space