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

UDC 517.5 Let K be an algebraically closed field of characteristic $0,$ completed with respect to a non-Archimedean absolute value and let Pⁿ(K) be an n-dimensional projective space over K. A collection H = ₁,…,Hq\ ∈ Pⁿ(K), q ≥ N+1, is said to be in N-subgeneral position if, for any 1≤ i₁<…<iN+1≤ q, we have ⱼ₌₁N+1 Hiⱼ = . We prove a version of the second main theorem for non-Archimedean holomorphic curves intersecting hyperplanes in N-subgeneral position with integrated reduced counting functions.