On the standard conjecture for complex Abelian schemes over smooth projective curves

DOI10.1070/IM2003v067n03ABEH000439zbMath1072.14011OpenAlexW1964754819WikidataQ123003612 ScholiaQ123003612MaRDI QIDQ4674601

S. G. Tankeev

Publication date: 17 May 2005

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2003v067n03abeh000439

zbMATH Keywords

cohomologyalgebraic cyclesHodge conjectureHodge theoryTate conjecture

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Classical real and complex (co)homology in algebraic geometry (14F25) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (6)

On algebraic isomorphisms of cohomology of a compactification of the Néron model with multiplications from an imaginary quadratic field ⋮ On the standard conjecture for a -dimensional variety fibred by curves with a non-injective Kodaira–Spencer map ⋮ On algebraic cycles on a fibre product of families of K3-surfaces ⋮ On the standard conjecture for a fibre product of three elliptic surfaces with pairwise-disjoint discriminant loci ⋮ On algebraic isomorphisms of rational cohomology of a Künnemann compactification of the Néron minimal model ⋮ On the standard conjecture for projective compactifications of Néron models of -dimensional Abelian varieties

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