Cycles on Simple Abelian Varieties of Prime Dimension Over Number Fields
Abstract
For all simple abelian varieties of prime dimension over number fields the author proves 1) a version of the MumfordTate conjecture, asserting that the Lie algebra of the image of the /adic representation is isomorphic to the Lie algebra of the set of Q_{l}points of the MumfordTate group, and 2) the Tate conjecture on cycles.
Bibliography: 21 titles.
 Publication:

Izvestiya: Mathematics
 Pub Date:
 June 1988
 DOI:
 10.1070/IM1988v031n03ABEH001088
 Bibcode:
 1988IzMat..31..527T