Abstract
The first aim of this note is to give a concise, but complete and self-contained, presentation of the fundamental theorems of Mori theory (the non-vanishing, base point free, rationality and cone theorems) using modern methods of multiplier ideals, Nadel vanishing, and the subadjunction theorem of Kawamata. The second aim is to write up a complete, detailed proof of existence of flips in dimension n assuming the Minimal Model Program with scaling in dimension n − 1.
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