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On the deficiencies of meromorphic mappings of Cn into PNC

Published online by Cambridge University Press:  22 January 2016

Seiki Mori
Seiki Mori*
Affiliation:
Mathematical Institute, Tōhoku University
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Let f(z) be a non-degenerate meromorphic mapping of the n-dimensional complex Euclidean space Cn into the N-dimensional complex projective space PNC. A generalization of results of Edrei-Fuchs [2] for meromorphic mappings of C into PNC was given by Toda [5], and an estimate of K(λ) for meromorphic mappings of Cn into PNC was done by Noguchi [4]. In this note we generalize several results of Edrei-Fuchs [2] in the case of meromorphic mappings of Cn into PNC.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 67 , August 1977 , pp. 165 - 176
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1977

References

[1] Carlson, J. and Griffiths, P., A defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. of Math., 95 (1972), 556–584.Google Scholar
[2] Edrei, A. and Fuchs, W. H. J., On the growth of meromorphic functions with several deficient values, Trans. Amer. Math. Soc., 93 (1959), 293–328.Google Scholar
[3] Griffiths, P. and King, J., Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math., 130 (1973), 145–220.Google Scholar
[4] Noguchi, J., A relation between order and defect of meromorphic mappings of Cn into PNC , Nagoya Math. J., 59 (1975), 97–106.Google Scholar
[5] Toda, N., Sur la croissance de fonctions algebroides á valeurs deficientes, Kōdai Math. Sem. Rep., 22 (1970), 324–337.Google Scholar