A version of Cartan–Nochka's theorem for non-Archimedean holomorphic curves with integrated reduced counting functions

• Date: 2026
• Main Authors: Phuong, Ha Tran, Hung, Bui The, Inthavichit, Padaphet
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8755
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 Let $\mathbb{K}$ be an algebraically closed field of characteristic $0,$ completed with respect to a non-Archimedean absolute value and let $\mathbb{P}^n(\mathbb{K})$ be an $n$-dimensional projective space over $\mathbb{K}.$ A collection $\mathcal H = \{H_1,\ldots,H_q\} \in \mathbb{P}^n(\m...