Tohoku Mathematical Journal
2012
June
SECOND SERIES VOL. 64, NO. 2

Tohoku Math. J.
64 (2012), 287-315

Title DEFICIENCIES OF HOLOMORPHIC CURVES IN ALGEBRAIC VARIETIES

Dedicated to Professor Junjiro Noguchi on his 60th birthday
Author Yoshihiro Aihara

(Received October 27, 2009, revised September 26, 2011)
Abstract. 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.

2000 Mathematics Subject Classification. Primary 32H30.
Key words and phrases. Nevanlinna theory, holomorphic curve, deficiency, linear system.

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