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Remarks to the uniqueness problem of meromorphic maps into PN(C), III

Published online by Cambridge University Press:  22 January 2016

Hirotaka Fujimoto
Hirotaka Fujimoto*
Affiliation:
Nagoya University
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In the previous papers [3], [4], [5] the author gave some results on the uniqueness of meromorphic maps of Cn into the N-dimensional complex projective space PN(C) which have the pre-assigned inverse images for some hyperplanes in PN(C). Relating to these results, we attempt in this paper to generalize the following Cartan-Nevanlinna’s theorem to the case of meromorphic maps into PN(C).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 75 , September 1979 , pp. 71 - 85
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1979

References

[1] Borel, E., Sur les zéros des fonctions entières, Acta Math., 20 (1897), 357–396.Google Scholar
[2] Cartan, H., Sur les systèmes de fonctions holomorphes a variétés linéaires lacunaires, Ann. de E.N.S., 45 (1928), 255–346.Google Scholar
[3] Fujimoto, H., The uniqueness problem of meromorphic maps into the complex projective space, Nagoya Math. J., 58 (1975), 1–23.CrossRefGoogle Scholar
[4] Fujimoto, H., A uniqueness theorem of algebraically non-degenerate meromorphic maps into PN(C), Nagoya Math. J., 64 (1976), 117–147.Google Scholar
[5] Fujimoto, H., Remarks to the uniqueness problem of meromorphic maps into PN(C), I, II, Nagoya Math. J., 71 (1978), 13–41.CrossRefGoogle Scholar
[6] Nevanlinna, R., Le théorèmes de Picard-Borei et la théorie des fonctions méromor-phes, Gauthier-Villars, Paris, 1929.Google Scholar