Geodesic
On the numerical equivalence of algebraic cycles on potentially simple Abelian schemes of prime relative dimension
Izvestiya. Mathematics , Tome 69 (2005) no. 1, pp. 143-162

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Let $\pi\colon X\to C$ be a potentially simple complex Abelian scheme of prime relative dimension over a smooth projective curve. We prove that numerical equivalence of algebraic cycles on $X$ coincides with homological equivalence. 
@article{IM2_2005_69_1_a6,
     author = {S. G. Tankeev},
     title = {On the numerical equivalence of algebraic cycles on potentially simple {Abelian} schemes of prime relative dimension},
     journal = {Izvestiya. Mathematics },
     pages = {143--162},
     publisher = {mathdoc},
     volume = {69},
     number = {1},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2005_69_1_a6/}
}
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S. G. Tankeev. On the numerical equivalence of algebraic cycles on potentially simple Abelian schemes of prime relative dimension. Izvestiya. Mathematics , Tome 69 (2005) no. 1, pp. 143-162. http://geodesic.mathdoc.fr/item/IM2_2005_69_1_a6/