Abstract
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 /-adic representation is isomorphic to the Lie algebra of the set of Ql-points of the Mumford-Tate group, and 2) the Tate conjecture on cycles. Bibliography: 21 titles.
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