Algebraic cycles on nonsimple abelian varieties

DOI10.1215/S0012-7094-89-05803-1zbMath0697.14028MaRDI QIDQ911674

Fumio Hazama

Publication date: 1989

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hodge groupstably non-degenerate abelian varieties

Mathematics Subject Classification ID

Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Algebraic theory of abelian varieties (14K05)

Related Items

On algebraic isomorphisms of the rational cohomology of Künnemann's compactifications of the Néron model of an abelian variety without complex multiplication ⋮ Complete families of indecomposable non-simple abelian varieties ⋮ Hodge classes and Tate classes on simple abelian fourfolds ⋮ On the Hodge conjecture for products of certain surfaces ⋮ On the \(\ell\)-adic Galois representations attached to nonsimple abelian varieties ⋮ Families of motives and the Mumford-Tate conjecture ⋮ Sato-Tate distributions of Catalan curves ⋮ Algebraic groups associated with abelian varieties ⋮ The Hodge conjecture for the Jacobian varieties of generalized Catalan curves ⋮ Unnamed Item ⋮ Sato-Tate distributions of \(y^2=x^p-1\) and \(y^2=x^{2p}-1\)

Cites Work

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• Algebraic cycles on Abelian varieties with many real endomorphisms
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• Semisimple subalgebras of semisimple Lie algebras
• ON ALGEBRAIC CYCLES ON ABELIAN VARIETIES. II
• On the Hodge groups of some abelian varieties
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields