On the standard conjecture for compactifications of Néron models of three-dimensional abelian varieties with multiplications in an imaginary quadratic field

DOI10.1134/S0001434621030184zbMath1465.14014OpenAlexW3179235541WikidataQ113786475 ScholiaQ113786475MaRDI QIDQ2037689

S. G. Tankeev

Publication date: 8 July 2021

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

Full work available at URL: https://doi.org/10.1134/s0001434621030184

zbMATH Keywords

abelian varietyimaginary quadratic fieldHodge conjecturestandard conjectureminimal Néron model

Mathematics Subject Classification ID

(3)-folds (14J30) Classical real and complex (co)homology in algebraic geometry (14F25) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Abelian varieties and schemes (14K99)

Cites Work

• Unnamed Item
• On algebraic isomorphisms of rational cohomology of a Künnemann compactification of the Néron minimal model
• On the standard conjecture of Lefschetz type for complex projective threefolds. II
• 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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