On the standard conjecture for a fourfold with 1-parameter fibration by abelian varieties

(4)-folds (14J35) Abelian varieties of dimension (> 1) (11G10) Classical real and complex (co)homology in algebraic geometry (14F25) Minimal model program (Mori theory, extremal rays) (14E30) Algebraic cycles (14C25)

Cites Work

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Motivation for Hodge cycles
Exceptional Hodge classes on certain abelian varieties
Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
Degeneration of Kähler manifolds
Variation of Hodge structure: The singularities of the period mapping
Hodge classes on abelian varieties of low dimension
Projective regular models for abelian varieties, semistable reduction, and the height pairing
On algebraic isomorphisms of rational cohomology of a Künnemann compactification of the Néron minimal model
Théorie de Hodge. II. (Hodge theory. II)
Théorie de Hodge. III
Sur quelques points d'algèbre homologique
Height pairings for algebraic cycles on Abelian varieties
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WEIGHTS OF SIMPLE LIE ALGEBRAS IN THE COHOMOLOGY OF ALGEBRAIC VARIETIES
Hodge Classes on Certain Types of Abelian Varieties
CYCLES ON SIMPLE ABELIAN VARIETIES OF PRIME DIMENSION
Algebraic Cycles and the Hodge Structure of a Kuga Fiber Variety
A Survey of the Hodge Conjecture
On an inductive approach to the standard conjecture for a fibred complex variety with strong semistable degeneracies
On the standard conjecture for complex Abelian schemes over smooth projective curves
The standard conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes ofK3 surfaces
On the standard conjecture for a fibre product of three elliptic surfaces with pairwise-disjoint discriminant loci
On the standard conjecture for a -dimensional variety fibred by curves with a non-injective Kodaira–Spencer map
Monoidal transformations and conjectures on algebraic cycles
On the numerical equivalence of algebraic cycles on potentially simple Abelian schemes of prime relative dimension
Numerical and Homological Equivalence of Algebraic Cycles on Hodge Manifolds
On the standard conjecture for projective compactifications of Néron models of -dimensional Abelian varieties

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