Introduction to the Minimal Model Program and the existence of flips

Details Introduction to the Minimal Model Program and the existence of flips Introduction to the Minimal Model Program and the existence of flips

2008-11-06

arxiv.org/abs/0811.1047v1

Bull. London Math. Soc. 43 (2011), no. 3, 415-448

Mathematics

Algebraic Geometry

Scientific paper

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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