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Iitaka's fibrations via multiplier ideals
Author(s):
Shigeharu
Takayama
Journal:
Trans. Amer. Math. Soc.
355
(2003),
37-47.
MSC (2000):
Primary 14E05;
Secondary 14D06, 14C20
Posted:
June 24, 2002
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Abstract:
We give a new characterization of Iitaka's fibration of algebraic varieties associated to line bundles. Introducing an ``intersection number'' of line bundles and curves by using the notion of multiplier ideal sheaves, Iitaka's fibration can be regarded as a ``numerically trivial fibration'' in terms of this intersection theory.
References:
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 vanishing theorem for positive line bundles and adjunction theory, Transcendental Methods in Algebraic Geometry, Lecture Notes in Math., vol. 1646, Springer-Verlag, New York, 1996, pp. 1-97. MR 99k:32051 - [D2]
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Additional Information:
Shigeharu
Takayama
Affiliation:
Graduate School of Mathematics, Kyushu University, Hakozaki, Higashi-ku, Fukuoka, 812-8581, Japan
Email:
taka@math.kyushu-u.ac.jp
DOI:
10.1090/S0002-9947-02-03068-4
PII:
S 0002-9947(02)03068-4
Keywords:
Iitaka's fibration,
multiplier ideal,
numerically trivial
Received by editor(s):
December 5, 2001
Received by editor(s) in revised form:
January 28, 2002
Posted:
June 24, 2002
Dedicated:
Dedicated to Professor Shigeru Iitaka on his sixtieth birthday
Copyright of article:
Copyright
2002,
American Mathematical Society
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