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math.AG2000
Polarizations on abelian varieties
A. Silverberg, Yu. G. Zarhin
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…
math.AG1998
Étale cohomology and reduction of abelian varieties
A. Silverberg, Yu. G. Zarhin
In this paper we study the étale cohomology groups associated to abelian varieties. We obtain necessary and sufficient conditions for an abelian variety to have semistable reductio…