A Canonical Bundle Formula

Osamu Fujino, Шигефуми Мори

Type: Article

Publication Date: 2000-09-01

Citations: 158

DOI: https://doi.org/10.4310/jdg/1090347529

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 |MKX| induces the Iitaka fibering for every algebraic threefold X with Kodaira dimension κ = 1.

Locations

Journal of Differential Geometry - View - PDF

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