Finite generation of a canonical ring

2008/04/19 by Yūjirō Kawamata, Kawamata, Yujiro · 1 citation
Mathematics · Medicine · #14E30 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Cancer Treatment and Pharmacology #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0804.3151

openalex publication_date 2008/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this note is to review an algebraic proof of the finite generation theorem due to Birkar-Cascini-Hacon-McKernan whose method is based on the Minimal Model Program. A survey article for Current Development in Mathematics 2007.

Citations

• Pluricanonical systems of projective 3-folds of general type
• A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring

Cited by

• Minimal models, flips and finite generation : a tribute to V.V. SHOKUROV and Y.-T. SIU

Related

• Techniques for the Analytic Proof of the Finite Generation of the Canonical Ring
• Towards finite generation of the canonical ring without the MMP
• A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring
• Additional Explanatory Notes on the Analytic Proof of the Finite Generation of the Canonical Ring
• Adjoint rings are finitely generated