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词条 Zarhin trick
释义

  1. References

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 {{harvs|txt|last=Zarhin|year=1974}} in his proof of the Tate conjecture over global fields of positive characteristic.

References

  • {{Citation | last1=Zarhin | first1=Ju. G. | title=A remark on endomorphisms of abelian varieties over function fields of finite characteristic | doi=10.1070/IM1974v008n03ABEH002115 |mr=0354689 | year=1974 | journal=Mathematics of the USSR-Izvestiya | issn=0373-2436 | volume=8 | issue=3 | pages=477–480}}

1 : Abelian varieties

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