On Kawamata's theorem

TL;DR

This paper provides a new proof of Kawamata's theorem on pluricanonical systems for minimal algebraic varieties, extending to varieties in class $\

Contribution

It introduces a completely different proof method for Kawamata's theorem, applicable to a broader class of varieties.

Findings

Proof is valid for varieties in class $\

Alternative proof approach differs from Kawamata's original method

Extends applicability to a wider class of algebraic varieties

Abstract

We give an alternate proof of the main theorem of Kawamata's paper: Pluricanonical systems on minimal algebraic varieties. Our proof also works for varieties in class $\mathcal C$. We note that our proof is completely different from Kawamata's.