A Canonical Bundle Formula

Osamu Fujino; Shigefumi Mori

doi:10.4310/jdg/1090347529

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Home > Journals > J. Differential Geom. > Volume 56 > Issue 1 > Article

September, 2000 A Canonical Bundle Formula

Osamu Fujino, Shigefumi Mori

J. Differential Geom. 56(1): 167-188 (September, 2000). DOI: 10.4310/jdg/1090347529

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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.

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Osamu Fujino. Shigefumi Mori. "A Canonical Bundle Formula." J. Differential Geom. 56 (1) 167 - 188, September, 2000. https://doi.org/10.4310/jdg/1090347529