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In this paper we give a module-theoretic description of the isomorphism classes of abelian varieties A isogenous to $$B^r$$ Br , where the characteristic polynomial g of Frobenius of B is an ordinary square-free q-Weil polynomial, for a power q of a prime p, or a square-free p-Weil polynomial with no real roots. Under some extra assumptions on the polynomial g we give an explicit description of all...
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