论文标题
大型PICARD定理用于喷气差速器和非Archimedean Ax-Lindemann定理
Big Picard Theorem for jet differentials and Non-archimedean Ax-Lindemann Theorem
论文作者
论文摘要
通过在非Archimedean几何形状中实现喷气差分技术，我们获得了一个大的PICARD类型扩展定理，该定理概括了Cherry and Ru的先前结果。作为应用，我们建立了两个与双曲线相关的结果。首先，我们证明了完全退化的Abelian品种的非Archimedean Ax-Lindemann定理。其次，我们显示了阿贝尔品种中一般类型的亚种的伪孔双波利度。
By implementing jet differential techniques in non-archimedean geometry, we obtain a big Picard type extension theorem, which generalizes a previous result of Cherry and Ru. As applications, we establish two hyperbolicity-related results. Firstly, we prove a non-archimedean Ax-Lindemann theorem for totally degenerate abelian varieties. Secondly, we show the pseudo-Borel hyperbolicity for subvarieties of general type in abelian varieties.
