Extension of holomorphic mappings for few moving hypersurfaces

• Date: 2012
• Main Authors: Si, Duc Quang, Сі, Дук Куанг
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2584
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove the big Picard theorem for holomorphic curves from a punctured disc into $P^n(C)$ with $n + 2$ hypersurfaces. We also prove a theorem on the extension of holomorphic mappings in several complex variables into a submanifold of$P^n(C)$ with several moving hypersurfaces.