It is shown that to every Q-linear cycle \bar\alpha modulo numerical equivalence on an abelian variety A there is canonically associated a Q-linear cycle \alpha modulo rational equivalence on A lying above \bar\alpha. The assignment \bar\alpha -> \alpha respects the algebraic operations and pullback and push forward along homomorphisms of abelian varieties.
A criterion for an abelian variety to be simple
Rational curves on quotients of abelian varieties by finite groups
Singularities of divisors of low degree on abelian varieties
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