Iitaka’s fibrations via multiplier ideals

Takayama, Shigeharu

doi:10.1090/S0002-9947-02-03068-4

Iitaka’s fibrations via multiplier ideals
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by Shigeharu Takayama PDF

Trans. Amer. Math. Soc. 355 (2003), 37-47 Request permission

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.

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