Tate twists of Hodge structures arising from abelian varieties of type IV

DOI10.1016/j.jpaa.2011.10.005zbMath1247.14007arXiv1203.4857OpenAlexW2060490833MaRDI QIDQ436102

Salman Abdulali

Publication date: 30 July 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.4857

zbMATH Keywords

abelian varietycomplex multiplicationHodge conjectureHodge structuresHodge theorydominating varietiesTate twist

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Complex multiplication and abelian varieties (14K22) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (3)

Hodge Structures Associated toSU(p, 1) ⋮ Sub-Shimura Varieties for type O(2,n) ⋮ Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for Abelian varieties

Cites Work

• Exceptional Hodge classes on certain abelian varieties
• Hodge cycles, motives, and Shimura varieties
• Hodge structures on abelian varieties of type IV
• Hodge structures on abelian varieties of type III.
• On analytic families of polarized abelian varieties and automorphic functions
• Symplectic representations of algebraic groups satisfying a certain analyticity condition
• Hodge's general conjecture is false for trivial reasons
• On the field of definition for a field of automorphic functions
• ABELIAN VARIETIES OF TYPE III AND THE HODGE CONJECTURE
• Hodge Classes on Certain Types of Abelian Varieties
• Weil classes on abelian varieties
• Holomorphic Imbeddings of Symmetric Domains into a Siegel Space
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