Some remarks on the Hodge conjecture for abelian varieties

DOI10.1007/s10231-009-0119-4zbMath1201.14033OpenAlexW2112745922WikidataQ123253139 ScholiaQ123253139MaRDI QIDQ1956519

Elham Izadi

Publication date: 22 September 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-009-0119-4

zbMATH Keywords

abelian varietiesimaginary quadratic fieldHodge conjectureWeil type

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Subvarieties of abelian varieties (14K12) Algebraic cycles (14C25) Infinitesimal methods in algebraic geometry (14B10)

Related Items (2)

Normal functions over locally symmetric varieties ⋮ The primitive cohomology of the theta divisor of an abelian fivefold

Cites Work

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• Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
• Generalized intermediate Jacobians and the theorem on normal functions
• Algebraic cycles on abelian varieties of complex multiplication type
• Geometry on Grassmannians and applications to splitting bundles and smoothing cycles
• A Survey of the Hodge Conjecture
• Nodes and the Hodge conjecture
• VARIETIES DOMINATED BY PRODUCT VARIETIES

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