A. Silverberg, Yu. G. Zarhin
Published 2000-02-29Version 1
The results in this paper imply that for every number field F and positive integer r, there exists an F-isogeny class of abelian varieties such that r divides the degree of every F-polarization on every abelian variety in the isogeny class.
Ordinary reductions of abelian varieties
The groups of points on abelian varieties over finite fields
Isogeny classes of abelian varieties with no principal polarizations
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