Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
On the truncated defect relation for holomorphic curves
Nobushige Toda
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2009 年 32 巻 2 号 p. 352-389

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For a transcendental holomorphic curve and a subset of Cn + 1 - {0} in subgeneral position, we consider the truncated defect relation by using a generalization of Nochka weight function introduced in [12] and its supplement in Section 3. When it is not extremal, we estimate the sum of defects and when it is extremal, we investigate the number of vectors each defect of which is equal to 1 or the structure of vectors each defect of which is positive.
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© 2009 Department of Mathematics, Tokyo Institute of Technology
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