A remark on constant scalar curvature K\"ahler metrics on minimal models

TL;DR

This paper proves the existence of constant scalar curvature K"ahler metrics on certain compact K"ahler manifolds with semi-ample canonical bundles, contributing to the understanding of canonical metrics in complex geometry.

Contribution

It establishes the existence of such metrics on minimal models with semi-ample canonical bundles, a new result in the field.

Findings

Existence of constant scalar curvature K"ahler metrics on these manifolds

Extension of known results to minimal models with semi-ample canonical bundles

Advancement in the study of canonical metrics in algebraic geometry

Abstract

In this short note, we prove the existence of constant scalar curvature K\"ahler metrics on compact K\"ahler manifolds with semi-ample canonical bundles.