Uniqueness theorem for non-Archimedean analytic curves intersecting hyperplanes without counting multiplicities

Abstract

In this paper, we prove uniqueness theorems for analytic curves from $\mathbf{F}$ to ${\mathbb{P}}^{n}(\mathbf{F})$ sharing hyperplanes in general position without counting multiplicities, where $\mathbf{F}$ is a complete algebraically closed non-Archimedean field of arbitrary characteristic.