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Abelian varieties, quaternion trick and endomorphisms

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 نشر من قبل Yuri Zarhin G.
 تاريخ النشر 2020
  مجال البحث
والبحث باللغة English
 تأليف Yuri G. Zarhin




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Let $X$ be a polarized abelian variety over a field $K$. Let $O$ be a ring with an involution that acts on $X$ and this action is compatible with the polarization. We prove that the natural action of $O$ on $(X times X^t)^4$ is compatible with a certain principal polarization.



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