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Overview of the Mori Program

  • Kenji Matsuki
Part of the Universitext book series (UTX)

Abstract

The purpose of this chapter is to outline the key points of the Mori program in dimension 3 (or higher), extending the analogy from dimension 2 to higher dimensions as much as possible. At the same time we try to distinguish the remarkable features, such as flips, that are unique to higher dimensions. We will not give any detailed proofs in this chapter. The emphasis is on presenting the global picture at an early stage by taking the reader on a quick roller-coaster ride of the Mori program.

Keywords

Minimal Model Exceptional Divisor Fiber Space Canonical Divisor Conic Bundle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Kenji Matsuki
    • 1
  1. 1.Department of Mathematics, 1395 Mathematical Science BuildingPurdue UniversityWest LafayetteUSA

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