Let \(\begin{array}{cc}{\mathbb{K}}\end{array}\) be an algebraically closed field of characteristic 0, completed with respect to a non-Archimedean absolute value and let \(\begin{array}{cc}{\mathbb{P}}^{n}\left({\mathbb{K}}\right)\end{array}\) be an n-dimensional projective space over \(\begin{array}{cc}{\mathbb{K}}\end{array}\) . A collection \(\begin{array}{cc}\mathcal{H}=\left\{{H}_{1},\dots ,{H}_{q}\right\}\in {\mathbb{P}}^{n}\left({\mathbb{K}}\right),& q\ge N+1,\end{array}\)
is said to be in N-subgeneral position if, for any 1 ≤ i1 < . . . < iN+1 ≤ q, we have \({\bigcap }_{j=1}^{N+1}{H}_{{i}_{j}}=\varnothing \) . 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.
