Polarizations on abelian varieties

2000/02/29 by A. Silverberg, Silverberg, A., Yu. G. Zarhin +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.math/0002253

arxiv created 2000/02/29 · arxiv updated 2009/11/30

Abstract

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.

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