“…Refining a theorem of Zarhin, we prove that, given a g-dimensional abelian variety X and an endomorphism u of X, there exists a matrix [Formula: see text] such that each Tate module [Formula: see text] has a [Formula: see text]-basis on which the action of u is given by A, and similarly for the covariant Dieudonné module if over a perfect field of characteristic p.…”
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