## Journal of Differential Geometry

- J. Differential Geom.
- Volume 56, Number 1 (2000), 167-188.

### A Canonical Bundle Formula

Osamu Fujino and Shigefumi Mori

#### Abstract

A higher dimensional analogue of Kodaira's canonical bundle formula is obtained. As
applications, we prove that the log-canonical ring of a klt pair with *κ* ≤ 3 is
finitely generated, and that there exists an effectively computable natural number
*M* such that |*MK*_{X}| induces the Iitaka fibering for every
algebraic threefold *X* with Kodaira dimension *κ* = 1.

#### Article information

**Source**

J. Differential Geom., Volume 56, Number 1 (2000), 167-188.

**Dates**

First available in Project Euclid: 20 July 2004

**Permanent link to this document**

https://projecteuclid.org/euclid.jdg/1090347529

**Digital Object Identifier**

doi:10.4310/jdg/1090347529

**Mathematical Reviews number (MathSciNet)**

MR1863025

**Zentralblatt MATH identifier**

1032.14014

#### Citation

Fujino, Osamu; Mori, Shigefumi. A Canonical Bundle Formula. J. Differential Geom. 56 (2000), no. 1, 167--188. doi:10.4310/jdg/1090347529. https://projecteuclid.org/euclid.jdg/1090347529