Hodge classes and Tate classes on simple abelian fourfolds

DOI10.1215/S0012-7094-95-07717-5zbMath0874.14034OpenAlexW2084793027MaRDI QIDQ1895997

Yuri G. Zarhin, B. J. J. Moonen

Publication date: 10 November 1997

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-95-07717-5

zbMATH Keywords

Hodge groupsTate classexceptional Hodge classesRosati involutionssimple abelian fourfold

Mathematics Subject Classification ID

(4)-folds (14J35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Abelian varieties and schemes (14K99)

Related Items

On the Hodge conjecture for products of certain surfaces ⋮ On the \(\ell\)-adic Galois representations attached to nonsimple abelian varieties ⋮ Roots of unity and torsion points of abelian varieties ⋮ Families of motives and the Mumford-Tate conjecture ⋮ The monodromy of generalized Kummer varieties and algebraic cycles on their intermediate Jacobians ⋮ Standard conjectures for abelian fourfolds ⋮ ABELIAN VARIETIES OF TYPE III AND THE HODGE CONJECTURE ⋮ Open problems in algebraic geometry ⋮ Abelian varieties of Weil type and Kuga-Satake varieties ⋮ CM-types with large index of degeneracy ⋮ Abelian surfaces over totally real fields are potentially modular ⋮ On certain complex projective manifolds with Hodge numbers \(h^{10}=4\) and \(h^{20}=5\) ⋮ Weil classes and decomposable abelian fourfolds ⋮ Hyper-Kähler manifolds of generalized Kummer type and the Kuga-Satake correspondence

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