The Minimal Model Program Revisited

TL;DR

This paper provides an accessible overview of recent advances in Mori theory and presents a new direct proof of the finite generation of the canonical ring, highlighting progress in the minimal model program.

Contribution

It offers a simplified introduction to recent developments and introduces a novel direct proof of the finite generation of the canonical ring.

Findings

Simplified overview of Mori theory developments

New direct proof of canonical ring finite generation

Advances in the minimal model program

Abstract

We give a light introduction to some recent developments in Mori theory, and to our recent direct proof of the finite generation of the canonical ring.