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Birational Relation among Minimal Models

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

Abstract

The purpose of this chapter is to discuss the birational relation among minimal models (cf. the strategic scheme MP 3 in the Introduction). In Section 1–8 we observed that a minimal model in dimension 2 in a fixed birational equivalence class is unique. This is no longer true in dimension 3 or higher, i.e., there may exist many minimal models in general even in a fixed birational equivalence class, and here arises a need to study the birational relation among them.

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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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