论文标题
亚洲品种的通用矢量扩展
The universal vector extension of an abeloid variety
论文作者
论文摘要
让$ a $成为一个完整的非Archimedean field $ k $的亚伯人品种。 $ a $的伯科维奇空间的通用封面反映了$ a $的减少行为。在本文中,描述了$ a $的通用矢量扩展$ e(a)$的通用封面。在即将发表的论文(Arxiv:2007.04659)中,这将是表明$ E(a)$上的刚性分析功能的关键工具之一。
Let $A$ be an abelian variety over a complete non-Archimedean field $K$. The universal cover of the Berkovich space attached to $A$ reflects the reduction behaviour of $A$. In this paper the universal cover of the universal vector extension $E(A)$ of $A$ is described. In a forthcoming paper ( arXiv:2007.04659), this will be one of the crucial tools to show that rigid analytic functions on $E(A)$ are all constant.