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A Canonical Bundle Formula

2000/09/01 by Osamu Fujino, Шигефуми Мори · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Geometry and complex manifolds

paper · pdf · doi:10.4310/jdg/1090347529

openalex publication_date 2000/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15

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.

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