Cycles on simple Abelian varieties of prime dimension over number fields

For all simple Abelian varieties of prime dimension over number fields the author proves 1) a version of the Mumford–Tate conjecture, asserting that the Lie algebra of the image of the $l$-adic representation is isomorphic to the Lie algebra of the set of $\mathbf Q_l$-points of the Mumford–Tate group, and 2) the Tate conjecture on cycles.
Bibliography: 21 titles.