Elimination of defects of meromorphic mappings of Cm into Pn(C)

The Nevanlinna defect relation and other results on the Nevanlinna theory assert that each meromorphic mapping f of C-m into P-n(C) has few deficient hyperplanes in P-n(C). However, it seems to me that meromorphic mappings with a deficient hyperplane must be very few. In this paper, we show that for an arbitrary given transcendental meromorphic mapping f (which may be linearly degenerate), we can eliminate all deficient hyperplanes in the sense of Nevanlinna by a small deformation of f.