论文标题
阿贝尔品种,四元组技巧和内态性
Abelian varieties, quaternion trick and endomorphisms
论文作者
论文摘要
让$ x $成为$ k $的两极分化的阿贝利安。让$ o $成为一枚戒指,具有$ x $的互动,此操作与两极分化兼容。我们证明,$ o $在$(x \ times x^t)^4 $上的自然作用与某些主要的极化兼容。
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.