Introduction to the Minimal Model Program and the existence of flips
Algebraic Geometry
2014-02-26 v1
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.
Keywords
Cite
@article{arxiv.0811.1047,
title = {Introduction to the Minimal Model Program and the existence of flips},
author = {Alessio Corti and Anne-Sophie Kaloghiros and Vladimir Lazic},
journal= {arXiv preprint arXiv:0811.1047},
year = {2014}
}