Abundance for large Kodaira dimension

2021/08/03 by Chuyu Zhou, Zhou, Chuyu
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2108.01342

openalex publication_date 2021/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we apply the semi-ampleness criterion in Lemma 3.1 to prove many classical results in the study of abundance conjecture. As a corollary, we prove abundance for large Kodaira dimension depending only on [BCHM10].

Related

• On the abundance theorem in the case ν=0
• Abundance conjecture
• Numerical analogues of the Kodaira dimension and the Abundance\n Conjecture
• Non-vanishing implies numerical dimension one abundance
• On subadditivity of the logarithmic Kodaira dimension