A note on the uniqueness problem of non-Archimedean holomorphic curves

Abstract

We prove a uniqueness theorem for non-Archimedean linearly nondegenerate holomorphic curves in projective spaces of dimension $$n$$ with two families of $$(2n+2)$$ hyperplanes in general position. Our result strongly generalizes the uniqueness theorem with $$(3n+1)$$ hyperplanes of Ru in [11].