On defect relations of moving hyperplanes

The defect relation gives the best-possible estimate, where f is a linearly non-degenerate holomorphic curve in Pn(C) and H 1, …, 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...

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Bibliographic Details
Published inNagoya mathematical journal Vol. 120; pp. 103 - 112
Main Author Shirosaki, Manabu
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.12.1990
Duke University Press
Subjects
32H30
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Summary:The defect relation gives the best-possible estimate, where f is a linearly non-degenerate holomorphic curve in Pn(C) and H 1, …, 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.
ISSN:0027-7630
2152-6842
DOI:10.1017/S0027763000003287