Lectures on flips and minimal models
Alessio Corti, Paul Hacking, J\'anos Koll\'ar, Robert Lazarsfeld,, Mircea Musta\c{t}\u{a}
TL;DR
This paper provides an overview of recent advances in the theory of canonical and minimal models of algebraic varieties, summarizing lectures from a 2007 workshop by leading experts in algebraic geometry.
Contribution
It compiles and explains recent progress in the minimal model program achieved by Hacon--McKernan and Birkar--Cascini--Hacon--McKernan.
Findings
Summarizes key developments in minimal and canonical models.
Highlights breakthroughs in the minimal model program.
Provides educational notes from expert lectures.
Abstract
This document contains notes from the lectures of Corti, Koll\'ar, Lazarsfeld, and Musta\c{t}\u{a} at the workshop ``Minimal and canonical models in algebraic geometry" at MSRI, Berkeley, April 2007. The lectures give an overview of the recent advances on canonical and minimal models of algebraic varieties obtained by Hacon--McKernan and Birkar--Cascini--Hacon--McKernan.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems