On the standard conjecture and the existence of a Chow-Lefschetz decomposition for complex projective varieties

DOI10.1070/IM2015v079n01ABEH002738zbMath1318.14012WikidataQ123350051 ScholiaQ123350051MaRDI QIDQ5246476

S. G. Tankeev

Publication date: 21 April 2015

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

zbMATH Keywords

fourfolds\(K3\) surfaceAbel-Jacobi mapabelian schemeshyperkähler varietyNéron minimal modelstandard conjecture of Lefschetz typeGrothendieck standard conjectureChow-Lefschetz decompositionreduction of multiplicative type

Mathematics Subject Classification ID

(4)-folds (14J35) (3)-folds (14J30) Classical real and complex (co)homology in algebraic geometry (14F25) Algebraic cycles (14C25)

Related Items (7)

Standard conjecture of Künneth type with torsion coefficients ⋮ On algebraic isomorphisms of cohomology of a compactification of the Néron model with multiplications from an imaginary quadratic field ⋮ On an inductive approach to the standard conjecture for a fibred complex variety with strong semistable degeneracies ⋮ On the standard conjecture for a -dimensional variety fibred by curves with a non-injective Kodaira–Spencer map ⋮ 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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