On the abundance theorem in the case ν=0

2010/02/13 by Yūjirō Kawamata, Kawamata, Yujiro
Mathematics · #14E30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · doi:10.48550/arxiv.1002.2682

openalex publication_date 2010/02/13 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We present a short proof of the abundance theorem in the case of numerical Kodaira dimension 0 proved by Nakayama and its log generalizaton.

Related

• Abundance for large Kodaira dimension
• Non-vanishing implies numerical dimension one abundance
• Abundance conjecture
• Tsuji's Numerically Trivial Fibrations and Abundance
• Abundance theorem for numerically trivial log canonical divisors of semi-log canonical pairs