On the Minimal Model Program for Kähler 3-folds

Abstract

In this article we prove the existence of pl-flipping and divisorial contractions and pl flips in dimension $n$ for compact Kähler varieties, assuming results of the minimal model program in dimension $n-1$. We also give a self contained proof of the cone theorem, the existence of flipping and divisorial contractions, of flips and minimal models in dimension 3.

48 pages. This is a major revision, Lemma 6.15 and Theorem 6.16 are new technical results, proofs and statements of various other theorems have also changed. However, the statement of the all main theorems remain unaffected