Elimination of Defects of Meromorphic Mappings of C into P(c)
نویسنده
چکیده
The Nevanlinna defect relation and other results on the Nevanlinna theory assert that each meromorphic mapping f of C into P(C) has few deficient hyperplanes in P(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 .
منابع مشابه
A Space of Meromorphic Mappings and an Elimination of Defects
This is a summary report of my recent articles. Nevanlinna theory asserts that each meromorphic mapping f of C into P(C) has few defects. However, it seems that meromorphic mappings with defects are very few. In this report, we shall show that for any given transcendental meromorphic mapping of C into P(C); there is a small deformation of f which has no Nevanlinna deficient hyperplanes in Pn(C)...
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