2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58788The 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.Algebraic GeometryNumber TheoryPolarizations on abelian varietiestext