Abundance for large Kodaira dimension

TL;DR

This paper leverages a semi-ampleness criterion to prove the abundance conjecture for varieties with large Kodaira dimension, building on foundational results to simplify the proof process.

Contribution

It introduces a new application of a semi-ampleness criterion to establish abundance for large Kodaira dimension, relying solely on prior key results.

Findings

Proves abundance for large Kodaira dimension.

Simplifies proof of abundance conjecture in certain cases.

Depends only on established results from [BCHM10].

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].