In mathematics, the Zarhin trick is a method for eliminating the polarization of abelian varieties A by observing that the abelian variety A4 × Â4 is principally polarized. The method was introduced by Zarhin (1974) in his proof of the Tate conjecture over global fields of positive characteristic.
References
Zarhin, Ju. G. (1974), "A remark on endomorphisms of abelian varieties over function fields of finite characteristic", Mathematics of the USSR-Izvestiya, 8 (3): 477–480, doi:10.1070/IM1974v008n03ABEH002115, ISSN 0373-2436, MR 0354689
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