Towards finite generation of the canonical ring without the MMP

2008/12/16 by Vladimir Lazić, Lazic, Vladimir
Mathematics · #14E30 #14E99 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0812.3046

openalex publication_date 2008/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is the first of two steps in a project to prove finite generation of the log canonical ring without Mori theory.

Citations

• On Shokurov-type b-divisorial algebras of higher rank

Related

• Adjoint rings are finitely generated
• Finite generation of a canonical ring
• On log canonical rings
• A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring
• Techniques for the Analytic Proof of the Finite Generation of the Canonical Ring