Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
DEFICIENCIES OF HOLOMORPHIC CURVES IN ALGEBRAIC VARIETIES
YOSHIHIRO AIHARA
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2012 年 64 巻 2 号 p. 287-315

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We study property of Nevanlinna's deficiency as functions on linear systems in smooth complex projective algebraic varieties. We give a structure theorem for the set of deficient divisors. This structure theorem yields that the set of values of deficiency is at most countable. Moreover, we have a correspondence between the deficiencies and the linear systems.
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