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arXiv · 0811.1047

Introduction to the Minimal Model Program and the existence of flips

Alessio Corti·Anne-Sophie Kaloghiros·Vladimir Lazic
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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 nonvanishing, 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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Alessio Corti, Anne-Sophie Kaloghiros, Vladimir Lazic. 2008-11-06. Introduction to the Minimal Model Program and the existence of flips. https://doi.org/10.1112/blms%2Fbdq126

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