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On defect relations of moving hyperplanes

Published online by Cambridge University Press:  22 January 2016

Manabu Shirosaki
Manabu Shirosaki*
Affiliation:
Department of Mathematics, Faculty of Science, Kanazawa University, Marunouchi, Kanazawa 920, Japan
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The defect relation gives the best-possible estimate, where f is a linearly non-degenerate holomorphic curve in Pn(C) and H1, …, Hq are hyperplanes in Pn(C) which are in general position. However, the case of moving hyperplanes has ever got only n(n + 1) instead of n + 1 (Stoll [4]) and it has not yet been known whether this bound is best-possible or not. In this paper we shall give some particular cases which have the bound n + 1.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 120 , December 1990 , pp. 103 - 112
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

References

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[5] Stoll, W., Value distribution theory for meromorphic maps, Aspects of Mathematics, E7, Vieweg, 1985.Google Scholar