Lefschetz classes on abelian varieties

DOI10.1215/S0012-7094-99-09620-5zbMath0976.14009MaRDI QIDQ1974894

James S. Milne

Publication date: 27 March 2000

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

zbMATH Keywords

abelian varietyalgebraic cyclesWeil cohomologycycle class mapLefschetz group

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Algebraic theory of abelian varieties (14K05)

Related Items

Hodge Structures Associated toSU(p, 1) ⋮ Motivation for Hodge cycles ⋮ Standard conjecture of Künneth type with torsion coefficients ⋮ Lefschetz classes on projective varieties ⋮ Lefschetz classes of simple factors of the Jacobian variety of a Fermat curve of prime degree over finite fields ⋮ Lattices with skew-Hermitian forms over division algebras and unlikely intersections ⋮ Torsion for abelian varieties of type III ⋮ Standard conjectures for abelian fourfolds ⋮ Motivic zeta functions of Abelian varieties, and the monodromy conjecture ⋮ Decomposition of abelian motives ⋮ Complex varieties with infinite Chow groups modulo 2 ⋮ Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for Abelian varieties ⋮ On certain complex projective manifolds with Hodge numbers \(h^{10}=4\) and \(h^{20}=5\) ⋮ Remark on nondegeneracy of simple abelian varieties with many endomorphisms ⋮ Overview of the Work of Kumar Murty

Cites Work

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