Truncated second main theorems and uniqueness theorems for non-Archimedean meromorphic maps

In this paper, several second main theorems are given for the non-Archimedean meromorphic map f : F-m -> P-n intersecting hyperplanes in P-n in terms of the truncated counting functions de fi ned by W. Cherry and C. Toropu, where F is an algebraically closed fi eld of characteristic p >= 0 complete with respect to a non-Archimedean absolute value. As an application, the uniqueness problem for non-Archimedean meromorphic maps sharing hyperplanes is also discussed.