Geodesic
On~algebraic cycles on simple 5-dimensional Abelian varieties
Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 95-123.

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It is shown that the $\mathbf Q$-space of rational cohomology classes of type $(r,r)$ on a simple complex 5-dimensional Abelian variety is generated by the classes of intersections of divisors. Bibliography: 15 titles. 
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S. G. Tankeev. On~algebraic cycles on simple 5-dimensional Abelian varieties. Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 95-123. http://geodesic.mathdoc.fr/item/IM2_1982_19_1_a6/

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