General defect relations of holomorphic curves
Author:
Kiyoshi Niino
Journal:
Trans. Amer. Math. Soc. 289 (1985), 99-113
MSC:
Primary 30D35; Secondary 32H30
DOI:
https://doi.org/10.1090/S0002-9947-1985-0779054-5
MathSciNet review:
779054
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be a holomorphic curve of finite lower order
, and let
be an arbitrary finite family of holomorphic curves
satisfying
. Suppose
is nondegenerate with respect to
, and
is in general position. We show the following general defect relations: (1)
has at most
deficient curves in
if
. (2)
. (3)
.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1985-0779054-5
Keywords:
Holomorphic curve,
Nevanlinna theory,
defect relation,
spread relation,
deficient curve
Article copyright:
© Copyright 1985
American Mathematical Society